{"id":52,"date":"2023-09-17T07:27:50","date_gmt":"2023-09-17T07:27:50","guid":{"rendered":"https:\/\/mathority.org\/id\/operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang\/"},"modified":"2023-09-17T07:27:50","modified_gmt":"2023-09-17T07:27:50","slug":"operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang\/","title":{"rendered":"Operasi dengan monomial"},"content":{"rendered":"<p>Di halaman ini kami menjelaskan cara melakukan semua operasi dengan monomial (penjumlahan, pengurangan, perkalian, pembagian, dan pangkat). Selain itu, Anda akan dapat melihat contoh setiap jenis operasi dengan monomial dan berlatih dengan latihan yang diselesaikan langkah demi langkah.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Suma-y-resta-de-monomios\"><\/span> Penjumlahan dan pengurangan monomial <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Dua atau lebih monomial hanya dapat dijumlahkan atau dikurangkan jika monomialnya serupa, yaitu jika kedua monomial tersebut mempunyai bagian literal yang identik (huruf dan eksponen yang sama).<\/p>\n<p> Kemudian, jumlah (atau pengurangan) dari dua monomial serupa sama dengan monomial lain yang terdiri dari bagian literal yang sama dan jumlah (atau pengurangan) koefisien dari kedua monomial tersebut. <\/p>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-37\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-monomes-exemples.png\" alt=\"apa itu operasi dengan monomial\" width=\"200\" height=\"201\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/soustraction-de-monomes-1.png\" alt=\"operasi dengan monomial 1 yang\" class=\"wp-image-151\" width=\"200\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> Penjumlahan dan pengurangan monomial disebut juga penjumlahan dan pengurangan monomial.<\/p>\n<h3 class=\"wp-block-heading\"> Contoh penjumlahan dan pengurangan monomial<\/h3>\n<p> Agar Anda dapat memahami dengan jelas cara menjumlahkan dan mengurangkan dua monomial atau lebih, kami berikan beberapa contoh di bawah ini: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e5b7ccd3830be06fd2f5165a760b367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x^6+3x^6 = 7x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"125\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74bf65eaed8bbd99077260cff7a731dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5y^3-2y^3 = 3y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"122\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bdda97aea0b54fdbbc1ffb190d88fb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x^2y+5x^2y-3x^2y = 4x^2y\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"211\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-75b17946f2dc3a4f4f7ec9753107b88d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6abc-7abc+4abc = 3abc\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"202\" style=\"vertical-align: -2px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60b660491e258b4dbcc9728dfd75d7ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^3y^2-4x^3y+2x^2y^3 = \\color{red} \\bm{\\times}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"228\" style=\"vertical-align: -4px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Monomial pada contoh terakhir tidak dapat dijumlahkan atau dikurangkan karena tidak sejenis atau dengan kata lain mempunyai variabel yang tidak diketahui atau eksponennya berbeda. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Producto-de-un-numero-por-un-monomio\"><\/span> Produk beberapa kali monomial <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Untuk menyelesaikan <strong>perkalian monomial dengan suatu angka,<\/strong> kalikan saja koefisien monomial dengan angka tersebut, biarkan bagian literal dari monomial tersebut tetap sama. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/produit-ou-multiplication-d-un-nombre-par-un-monome.png\" alt=\"\" class=\"wp-image-393\" width=\"165\" height=\"167\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\"> Contoh perkalian bilangan dengan monomial <\/h3>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e92d21eb9de394440a08b38dcbc685d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot (6x^3) = (2\\cdot 6)x^3 = 12x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-318cfda7f7d93cc2a20639b21e82fb49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4\\cdot (5x^7) = (-4\\cdot 5)x^7 = -20x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a2dab19c0282d641053ffb115e6bf28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\cdot (-3a^4b) = (5\\cdot (-3))a^4b = -15a^4b\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"283\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-83efc00f783524ec9b40eac2196931f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-7(-6x^9y^5)= (-7\\cdot (-6))x^9y^5=42x^9y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"313\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-monomios\"><\/span> Perkalian monomial <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Hasil <strong>perkalian dua monomial<\/strong> adalah monomial lain yang koefisiennya merupakan perkalian koefisien-koefisien monomial tersebut dan bagian literalnya diperoleh dengan mengalikan variabel-variabel yang mempunyai basis yang sama, yaitu dengan menjumlahkan eksponennya. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/multiplication-de-monomes-1.png\" alt=\"operasi dengan monomial pdf\" class=\"wp-image-203\" width=\"194\" height=\"196\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Oleh karena itu, untuk mengalikan dua monomial berbeda, kita harus mengalikan koefisien di antara keduanya dan menjumlahkan eksponen pangkat yang mempunyai basis yang sama.<\/p>\n<p> Namun, <strong>jika kita mengalikan dua monomial dengan pangkat dasar berbeda<\/strong> , kita hanya perlu mengalikan koefisiennya dan membiarkan pangkatnya tetap sama. Misalnya:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91a6b9c012d06d618d61f97a1648fc3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2\\cdot 3y^4 = (5\\cdot 3) x^2y^4 = 15x^2y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Sebaliknya, ketika mengalikan monomial, aturan tanda harus diperhatikan:<\/p>\n<ul>\n<li> Monomial positif dikalikan dengan monomial positif menghasilkan monomial positif lainnya.<\/li>\n<li> Monomial positif dikalikan dengan monomial negatif (atau sebaliknya) sama dengan monomial negatif.<\/li>\n<li> Dua monomial negatif dikalikan menghasilkan monomial positif.<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"> Contoh perkalian monomial<\/h3>\n<p> Di bawah ini beberapa contoh perkalian antar monomial agar Anda dapat melihat cara kerjanya: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c373ccffc9ccd101ba2ce02e99abf7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^4 \\cdot 7x^5= (6\\cdot 7)x^{4+5} = 42x^9\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ca04a0873a835eb55f0b7c34208302d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y \\cdot 2y^3 = (4\\cdot 2)y^{1+3} = 8 y^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d47775082b2bf643cd6277a4e74b5b08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x^2y^4\\cdot (-8x^8y^2)=(5\\cdot (-8))x^{2+8}y^{4+2} = -40x^{10}y^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"390\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2eac10c8abaa8979578beaf8274bd93b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^6y^4 \\cdot (-4x^2z)= (-3\\cdot (-4)) x^{6+2}y^4z= 12x^8y^4z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca7602e907500c26d357e713da3bde13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^8\\cdot 4x^5\\cdot (-x^2) =-12x^{13}\\cdot (-x^2)= 12x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"341\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Seperti yang Anda lihat, menyelesaikan perkalian monomial relatif sederhana. Namun perlu diingat bahwa monomial juga dapat dikalikan dengan polinomial, dan bahkan 2 polinomial atau lebih dapat dikalikan. Jika Anda lebih tertarik, Anda dapat melihat cara kerja semua operasi ini dengan mengklik <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\">perkalian polinomial<\/a><\/span><\/strong> .<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Division-de-monomios\"><\/span> Pembagian monomial <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Dalam matematika, hasil <strong>pembagian monomial<\/strong> adalah monomial lain yang koefisiennya setara dengan hasil bagi koefisien monomial dan bagian literalnya diperoleh dengan membagi variabel-variabel yang mempunyai basis yang sama, yaitu dengan mengurangkan eksponennya. . <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/division-de-monomes-1.png\" alt=\"operasi dengan monomial 2 yang\" class=\"wp-image-317\" width=\"201\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Jelasnya, setiap pembagian monomial juga dapat dinyatakan sebagai pecahan:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d022dbe3ddc38f031f0bb5dd4a8a6b11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^3y^2z : 2x^2y = \\cfrac{8x^3y^2z}{2x^2y} =  4xyz\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"243\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Seperti halnya perkalian, dalam pembagian monomial perlu diterapkan hukum tanda:<\/p>\n<ul>\n<li> Monomial positif dibagi dengan monomial positif menghasilkan monomial positif lainnya.<\/li>\n<li> Monomial positif dibagi dengan monomial negatif (atau sebaliknya) setara dengan monomial negatif.<\/li>\n<li> Dua monomial negatif yang dibagi satu sama lain menghasilkan monomial positif.<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"> Contoh pembagian monomial<\/h3>\n<p> Anda dapat melihat lebih banyak contoh pembagian dua monomial atau lebih di bawah ini: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0345d3bf8afc735b7e499584142fef76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7x^6 : 7x^4= (7:7)x^{6-4} = 1x^2=x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ba837b0d16f0fe2c78d057c053a72c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12y^5 : 4y^2= (12:4)y^{5-2} = 3y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99ce1c658885782a0de61d4acaae8f29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15x^7y^6 :3x^4y^5= (15:3)x^{7-4}y^{6-5} = 5x^3y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"318\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-344fa60ffc830f331035b6307b698695_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27x^9y^7 :(-3x^5y^2)= (27:(-3))x^{9-5}y^{7-2}= -9x^4y^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"395\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f98903cc9dff2fc60d4baeef41bbce1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-18x^{13} : 3x^4 : (-2x^7) = -6x^9: (-2x^7) = 3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"348\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<p> Tentunya suatu saat, ketika Anda mempelajari sesuatu yang baru dalam matematika, Anda bertanya pada diri sendiri: <span style=\"text-decoration: underline;\">untuk apa<\/span> ? Nah, pembagian monomial digunakan untuk membagi polinomial. Faktanya, sering terjadi kesalahan dalam membagi polinomial karena dua monomial salah dibagi. Oleh karena itu kami menganjurkan agar, setelah Anda memahami pembagian antar monomial, Anda melihat cara penghitungan <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/pembagian-polinomial-contoh-latihan-yang-diselesaikan-membagi\/\">pembagian polinomial<\/a><\/span><\/strong> , karena sekarang akan lebih mudah bagi Anda untuk mempelajari prosedurnya (cukup rumit).<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Potencia-de-un-monomio\"><\/span> Kekuatan monomial <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Dalam matematika, <strong>untuk menghitung pangkat suatu monomial, setiap elemen monomial dipangkatkan<\/strong> . Dengan kata lain, pangkat monomial terdiri dari menaikkan koefisien dan variabelnya (huruf) menjadi eksponen pangkatnya. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-dun-monome-exemple.png\" alt=\"bagaimana operasi dengan monomial diselesaikan\" class=\"wp-image-362\" width=\"179\" height=\"180\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Ingatlah dari sifat-sifat pangkat bahwa ketika keduanya menaikkan suku yang sudah tinggi, eksponennya berlipat ganda. Oleh karena itu <strong>, pangkat monomial, pangkat setiap huruf selalu dikalikan dengan pangkat yang menunjukkan pangkat<\/strong> .<\/p>\n<p> Di sisi lain, untuk melaksanakan operasi ini dengan benar, Anda harus mengingat properti kekuasaan berikut:<\/p>\n<ul>\n<li> Monomial negatif yang dipangkatkan menjadi eksponen genap setara dengan monomial positif.<\/li>\n<li> Sebaliknya, monomial negatif yang dipangkatkan menjadi eksponen ganjil akan menghasilkan monomial negatif.<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"> Contoh pangkat monomial<\/h3>\n<p> Kami memberikan beberapa contoh kepada Anda sehingga Anda dapat memahami dengan jelas cara menghitung pangkat monomial: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1e51fcc4fe828722bfa6963d3540e08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(5x^6\\right)^2 = 5^2\\left(x^6\\right)^2 = 5^2x^{6\\cdot 2} = 25x^{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-488af8cc2d389d0a9012531e595a51e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(2x^5\\right)^4 = 2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = 16x^{20}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"268\" style=\"vertical-align: -7px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931e60b61878fcf9dda31deb0eac0178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-4y^3\\right)^2 = (-4)^2\\left(y^3\\right)^2 = (-4)^2y^{3\\cdot 2} = 16y^{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"326\" style=\"vertical-align: -7px;\"><\/p>\n<p><\/span><\/li>\n<li style=\"margin-bottom:25px\"><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43073f3940619cc05ddaf143d91031ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^4y\\right)^3 = 3^3\\left(x^4y\\right)^3 = 3^3x^{4\\cdot 3}y^{1\\cdot 3} = 27x^{12}y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"331\" style=\"vertical-align: -7px;\"><\/p>\n<p><\/span><\/li>\n<li><span style=\"color:#000000;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-841e3847493c3454e6e0cde2b389de9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-2a^5b^7\\right)^3 = (-2)^3\\left(a^5b^7\\right)^3 = (-2)^3a^{5\\cdot 3}b^{7\\cdot 3} = -8a^{15}b^{21}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"417\" style=\"vertical-align: -7px;\"><\/p>\n<p><\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Operaciones-combinadas-con-monomios\"><\/span> Operasi dikombinasikan dengan monomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah Anda melihat semua operasi dengan monomial, ketahuilah bahwa mereka juga dapat digabungkan satu sama lain. Artinya, kita dapat menemukan latihan di mana kita diminta untuk menyelesaikan operasi dengan monomial yang melibatkan semua jenis: penjumlahan, pengurangan, perkalian, pembagian, dan pangkat.<\/p>\n<p> Tapi jangan khawatir, ini tidak sesulit kelihatannya. Satu-satunya hal yang perlu Anda ingat adalah urutan penyelesaian operasi gabungan:<\/p>\n<ol style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Pertama, operasi dengan monomial dalam tanda kurung diselesaikan.<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">Kemudian kekuatan monomial dihitung.<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">Ketiga, dilakukan perkalian dan pembagian monomial.<\/span><\/li>\n<li> <span style=\"color:#000000;font-weight: normal;\">Dan terakhir, penjumlahan dan pengurangan monomial ditentukan.<\/span><\/li>\n<\/ol>\n<p> Saya yakin dengan memecahkan sebuah contoh Anda akan melihatnya lebih jelas:<\/p>\n<h3 class=\"wp-block-heading\"> Contoh operasi gabungan monomial<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec50305026b5ae600feeedc2063ffb2d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12x^9:(2x^4-8x^4)+3x^4\\cdot 6x - (x^3\\cdot 7x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"310\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Pertama-tama, kita harus menyelesaikan operasi dengan monomial dalam tanda kurung:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20a79022126a4016bee178da5b2fd9a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12x^9:(-6x^4)+3x^4\\cdot 6x - 7x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"231\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dalam hal ini, kami tidak punya kuasa. Sekarang mari kita hitung perkalian dan pembagian monomial:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-75343501bfbe74ef63de85b90ce916c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2x^5+18x^5 - 7x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"144\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Dan terakhir, kita menjumlahkan dan mengurangkan monomial: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b8dc32e179e406eb902f611c60ad1c0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"16x^5 - 7x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5da0d3692c51151ea9c2a0478ffaa720_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{9x^5}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"26\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-operaciones-con-monomios\"><\/span> Latihan soal operasi dengan monomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Jika Anda ingin berlatih, kami tinggalkan beberapa latihan di bawah ini yang diselesaikan selangkah demi selangkah dari kesulitan ESO pada operasi dengan monomial.<\/p>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Hitung penjumlahan dan pengurangan monomial berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d2245ec403db8426a7c6747356beaa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^4+9x^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"100\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91d825e366ebde8630a08439cd57befe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3x^5y^3 +4x^5y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3f85bb7e0260af1c6e593b98fe852ad5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 3x^8-6x^8+2x^8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"148\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0254b78b2cce547d32a5eac7675b5a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -2a^3b^2-5a^3b^2+3a^3b^2-7a^3b^2+4a^3b^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"340\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-864766b992d12d73d145c8075df256df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 6xyz-5xz-7xyz-8xz\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"221\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c83fa020e8457b4402f2b7da01617f8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)} \\ 6y^3+2y^3-y^5+8y^4-y^5-5y^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56d30d2625c1f94ae6c667438b259524_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x^4+9x^4= \\bm{11x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"160\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4db7d7a7554cb1731e350df37305e936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3x^5y^3 +4x^5y^3= \\bm{x^5y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"214\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-598471a47e39a79742bf6e01dcbae7c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 3x^8-6x^8+2x^8= \\bm{-x^8}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"204\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07daa6a36995cfe314093771fa52e921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -2a^3b^2-5a^3b^2+3a^3b^2-7a^3b^2+4a^3b^2=\\bm{-7a^3b^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"419\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea6b3c423007edf6eee13c5fa69eafc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 6xyz-5xz-7xyz-8xz= \\bm{-xyz-13xz}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b81f9ed371675cfe8a51f608c3da025_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)} \\ 6y^3+2y^3-y^5+8y^4-y^5-5y^3 = \\bm{-2y^5+8y^4+3y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"428\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Selesaikan perkalian monomial berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-753999a2a1f5487e6842243827fddc38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^7\\cdot 6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-da823cb11d28cc8c5150d9c82bede60c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 2y^8\\cdot (-5y^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-facd1f9e25fe39a2f2ea7099c220faca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -4a^3 \\cdot (-2a)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a48b54dd3a3b028e42698709e3256ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 2x^3\\cdot 4x \\cdot (-3x^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"151\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60d398af3d95ef228ed8404701bba1e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ -5x^6\\cdot (-x^3) \\cdot (-9x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-60666db89889355be28e2381482c2146_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)} \\ 7x^3y^2 \\cdot 5x^8z^4 \\cdot (-2x^2y^5z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"224\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-462ca864ae7df79cca6d598a907ef47c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 5x^7\\cdot 6x^2=(5\\cdot 6)x^{7+2} = \\bm{30x^9}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"254\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9df50340278ae741ac52f48a38ee5200_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 2y^8\\cdot (-5y^6)= (2\\cdot (-5))y^{8+6} = \\bm{-10y^{14}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5b53bea16638f6a6d33c5ec2276a3e3e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -4a^3 \\cdot (-2a) =(-4\\cdot (-2))a^{3+1} = \\bm{8a^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"324\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-88b62aecb02121fb27d5290456ae05cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 2x^3\\cdot 4x \\cdot (-3x^6) = 8x^4\\cdot (-3x^6) = \\bm{-24x^{10}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"349\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2738eff1187ab32a1f1d526051dce513_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ -5x^6\\cdot (-x^3) \\cdot (-9x^4)=5x^9\\cdot (-9x^4) =\\bm{-45x^{13}}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"396\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d92004db2f9cc2fc28f7b5358dcb5932_l3.png\" height=\"131\" width=\"865\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{F)} \\ 7x^3y^2 \\cdot 5x^8z^4 \\cdot (-2x^2y^5z^3)= <span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb20ebb96e0dff759d07813f6fff9470_l3.png&quot; height=&quot;22&quot; width=&quot;195&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[35x^{11}y^2z^4\\cdot (-2x^2y^5z^3) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{-70x^{13}y^7z^7}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Tentukan hasil pembagian monomial berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a538bc97a4e40a71e36ea49db97f40fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 24x^4: 6x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-457fde039e753413817c083f0cb26ab5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16a^9: (-2a^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-596179812c3d61c3aa87a965e1265aca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -21x^3:(-3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"144\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a9a8fd439d22ab3a8f601ee400b758e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 14x^8y^3 :2x^6y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61d294ce86a62652f898caad643e4aff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 42x^5y^3z^6 : 7x^2y^3z^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de91d460fe9753ba75b7be2ad58e9599_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{F)} \\ 48x^8y^6z^{10} : (-6x^4y^{2}z^4) : (-4x^2y^2z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78e36b09fd9b819a65269c31c08da492_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 24x^4: 6x^2 = (24:6)x^{4-2} = \\bm{4x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"267\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0bcef3f5ee4e08629f22b3cb5fca73d5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16a^9: (-2a^6)= (16:(-2))a^{9-6} = \\bm{-8a^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"332\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d98b9bd4b6894c24bd28b2a4f0ff002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -21x^3:(-3x) = (-21:(-3))x^{3-1} = \\bm{7x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"349\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5896be1f204d342ff20cbbe7bfa587a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 14x^8y^3 :2x^6y = \\bm{7x^2y^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"196\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8edc35d562476b2352abcba054635cb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 42x^5y^3z^6 : 7x^2y^3z^4= 6x^3y^0z^2=\\bm{6x^3z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"320\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Pada operasi sebelumnya kami menyederhanakan istilah tersebut<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0f4ce4bf65bd54e5fc728271a7d7d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y^0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> karena bilangan apa pun yang dipangkatkan ke 0 sama dengan 1. Jadi: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07d692d378ec44f656fcde7667d5aab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^3y^0z^2=6x^3\\cdot 1 \\cdot z^2=\\bm{6x^3z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"228\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 131px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1b1554d59ad6a39e24db564712789ee7_l3.png\" height=\"131\" width=\"618\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{F)} \\ 48x^8y^6z^{10} : (-6x^4y^{2}z^4) : (-4x^2y^2z^3)=<span class=&quot;ql-right-eqno&quot;>   <\/span><span class=&quot;ql-left-eqno&quot;>   <\/span><img src=&quot;https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6dc0e068dbf84cef6abfe7e1789d245b_l3.png&quot; height=&quot;22&quot; width=&quot;194&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[-8x^4y^4z^6: (-4x^2y^2z^3)=\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{2x^2y^2z^3}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 4<\/h3>\n<p> Temukan pangkat monomial berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3fd531461cb852f7cf8f4e4f6505c96f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(-8x^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"93\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f74d8697d4ba1a59d074b73d2555430_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-2a^7\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"91\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aca4350f00eb97562878ce29f48a96f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(5x^8y^2\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"96\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1d9bcc48ef1555d5459cf28aa1abb3c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-x^3y^5z\\right)^6\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe946ceee571ae61db828c15b6a47cbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\left(-2x^5y^4\\right)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"109\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-20a7243c8e76a50f25b1da07921e231e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\left(-8x^4\\right)^2=(-8)^2\\left(x^4\\right)^2 = (-8)^2x^{4\\cdot 2} = \\bm{64x^{8}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"361\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-718c9fcf2f66c2e2e7d874e80dc3a921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-2a^7\\right)^3=(-2)^3\\left(a^7\\right)^3 = (-2)^3a^{7\\cdot 3} = \\bm{-8a^{21}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"368\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71162deddf3bccc8fbc9107769152d4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(5x^8y^2\\right)^3=(5)^3\\left(x^8y^2\\right)^3 = \\bm{125x^{24}y^6}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"303\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7eaa22bf4eb0e520c6ecdfa31c1585ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-x^3y^5z\\right)^6=(-1)^6\\left(x^3y^5z\\right)^6 = \\bm{x^{18}y^{30}z^{6}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"338\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c1f52fd47fc66e0f3178c63a0b864be8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ \\left(-2x^5y^4\\right)^5 =(-2)^5\\left(x^5y^4\\right)^5 = \\bm{-32x^{25}y^{20}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"342\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 5<\/h3>\n<p> Selesaikan operasi berikut yang digabungkan dengan monomial dan sederhanakan sebanyak mungkin: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9c95dec30cc01c49200d9ce7e198edfe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 3x^2\\cdot 4x^5 : 2x^4 + 10x^6:(-2x^4)\\cdot 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"292\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd210aaafaf98000f5ee202936c30d7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 4\\cdot \\left(5x^4 -2x^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"145\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-321e95fdde4c962fb0e532486180d6bf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 8x^7:(-4x^3+3x^3-7x^3)-5x^3\\cdot 3x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"298\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-981ccad0ae5f55e1d6d1db15b8aa2694_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-2x^2y\\right)^3+4x^2 \\cdot 5\\left(xy\\right)^4:(-2y)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"277\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f33fd1cdef957f1e2818fa88968ea5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{E)} \\ 8x^8:\\left(-2x^3\\right)^2-(7x^3\\cdot 6x^6): (-2x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"301\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong> <\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5710afdc30e5dade5d481dad0d5cd77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ 3x^2\\cdot 4x^5 : 2x^4 + 10x^6:(-2x^4)\\cdot 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"366\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-485388f25e43e12a37c10f917feeca41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"12x^7 : 2x^4 -5x^2\\cdot 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ee2fc488bcde1db8ffaa4326ac5b7d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x^3 -30x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"83\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89b11cc611350a670562c01e942c5415_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-24x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-01e9be21288169c2354a463f1c40361c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ 4\\cdot \\left(5x^4 -2x^4\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"219\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1cc01826641601698450b1862bf36083_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4\\cdot \\left(3x^4 \\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"72\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c970af842b560696a361e3380b8d3b7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4\\cdot 9x^8\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" 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class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-63fd4ee3643afe01035c8189415c1e27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-18x^6y^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"65\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-603b9ac5ea94315d1329b4960dcb2f12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{E}\\bm{)} \\color{black} \\ 8x^8:\\left(-2x^3\\right)^2-(7x^3\\cdot 6x^6): (-2x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"374\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0453c3029ccff9ac02828970e9ee9c9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^8:\\left(-2x^3\\right)^2-42x^9: (-2x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"231\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6cc9b09bf2b39f9ea04eb1b61587dfbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^8:4x^6-42x^9: (-2x^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-474309bfcc65106dde914093f76f624c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{2x^2+21x^5}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"83\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Pengoperasiannya tidak dapat disederhanakan lagi karena kedua monomial mempunyai eksponen yang berbeda, sehingga hasilnya adalah polinomial.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Jika Anda sudah sampai sejauh ini, berarti Anda sudah menguasai semua operasi dengan monomial. Terang! Nah, operasi lain yang pasti menarik bagi Anda adalah faktorial suatu bilangan. Ini adalah operasi yang agak aneh, karena perhitungannya berbeda dari operasi lainnya. Dan nyatanya masih banyak orang yang belum mengetahui apa itu faktorial suatu bilangan. Cari tahu cara menyelesaikan <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/fungsi-faktorial-suatu-bilangan\/\">faktorial<\/a><\/span><\/strong> dengan mengklik tautan ini.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini kami menjelaskan cara melakukan semua operasi dengan monomial (penjumlahan, pengurangan, perkalian, pembagian, dan pangkat). Selain itu, Anda akan dapat melihat contoh setiap jenis operasi dengan monomial dan berlatih dengan latihan yang diselesaikan langkah demi langkah. Penjumlahan dan pengurangan monomial Dua atau lebih monomial hanya dapat dijumlahkan atau dikurangkan jika monomialnya serupa, yaitu &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang\/\"> <span class=\"screen-reader-text\">Operasi dengan monomial<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[49],"tags":[],"class_list":["post-52","post","type-post","status-publish","format-standard","hentry","category-representasi-fungsi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Operasi dengan monomial -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Operasi dengan monomial -\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini kami menjelaskan cara melakukan semua operasi dengan monomial (penjumlahan, pengurangan, perkalian, pembagian, dan pangkat). Selain itu, Anda akan dapat melihat contoh setiap jenis operasi dengan monomial dan berlatih dengan latihan yang diselesaikan langkah demi langkah. Penjumlahan dan pengurangan monomial Dua atau lebih monomial hanya dapat dijumlahkan atau dikurangkan jika monomialnya serupa, yaitu &hellip; Operasi dengan monomial Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/operasi-dengan-contoh-monoma-dan-latihan-diselesaikan-1-2-3-4-yang\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T07:27:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/somme-de-monomes-exemples.png\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 menit\" \/>\n<script type=\"application\/ld+json\" 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