{"id":53,"date":"2023-09-17T07:28:52","date_gmt":"2023-09-17T07:28:52","guid":{"rendered":"https:\/\/mathority.org\/de\/division-von-monomen-division-von-beispielen-und-gelosten-ubungen\/"},"modified":"2023-09-17T07:28:52","modified_gmt":"2023-09-17T07:28:52","slug":"division-von-monomen-division-von-beispielen-und-gelosten-ubungen","status":"publish","type":"post","link":"https:\/\/mathority.org\/de\/division-von-monomen-division-von-beispielen-und-gelosten-ubungen\/","title":{"rendered":"Division von monomen"},"content":{"rendered":"<p>Auf dieser Seite erkl\u00e4ren wir, wie man Monome dividiert. Dar\u00fcber hinaus k\u00f6nnen Sie sich Beispiele f\u00fcr die Division von Monomen ansehen und sogar mit \u00dcbungen \u00fcben, die Schritt f\u00fcr Schritt gel\u00f6st werden. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFComo-se-realiza-la-division-de-monomios\"><\/span> Wie werden Monome geteilt? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> In der Mathematik ist das Ergebnis der <strong>Division von Monomen<\/strong> ein weiteres Monom, dessen Koeffizient dem Quotienten der Koeffizienten der Monome entspricht und dessen Literalteil durch Division der Variablen mit derselben Basis, also durch Subtraktion ihrer Exponenten, erhalten wird . <\/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=\"Was ist die Division von Monomen?\" class=\"wp-image-317\" width=\"201\" height=\"202\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Um zwei verschiedene Monome zu dividieren, dividieren wir daher einfach die Koeffizienten durcheinander und subtrahieren die Exponenten der Potenzen mit derselben Basis.<\/p>\n<p> Nat\u00fcrlich kann jede Division von Monomen auch als Bruch ausgedr\u00fcckt werden:<\/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> Schlie\u00dflich muss daran erinnert werden, dass die <strong>Regel (oder das Gesetz) der Zeichen<\/strong> auch f\u00fcr die Division der Koeffizienten von Monomen gilt, da die algebraische Division von Monomen aus einer arithmetischen Operation besteht. ALSO:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Ein positives Monom dividiert durch ein anderes positives Monom ergibt ein positives Monom:<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1f33fb7914155162bc947835cc792ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^9: 2x^3 = 4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"118\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">Ein positives Monom dividiert durch ein negatives Monom (oder umgekehrt) ist \u00e4quivalent zu einem negativen Monom:<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-56a713abf061bcf6ea01b0e4c3c9cfdf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x^9: 2x^3 = -4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"145\" 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-9251f03cce0e96bdc778bac0549fc95d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x^9: (-2x^3) = -4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Zwei durcheinander dividierte negative Monome ergeben ein positives Monom:<\/span> <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d03cf4af22aa6023076c57616e57cda2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8x^9: (-2x^3) = 4x^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-divisiones-de-monomios\"><\/span> Beispiele f\u00fcr die Division von Monomen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Damit Sie klar verstehen, wie zwei oder mehr Monome geteilt werden, hinterlassen wir Ihnen im Folgenden einige Beispiele f\u00fcr die Teilung zwischen Monomen: <\/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> Nachdem Sie nun gesehen haben, wie man die Division zwischen zwei Monomen berechnet, sind Sie wahrscheinlich auch daran interessiert zu wissen, wie <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/de\/division-von-polynomen-beispiele-geloste-aufgaben-division\/\">man ein Polynom durch ein Monom dividiert<\/a><\/span><\/strong> . Dieser Vorgang ist schwieriger, aber auf dieser Seite wird er Schritt f\u00fcr Schritt erkl\u00e4rt und Sie k\u00f6nnen au\u00dferdem anhand gel\u00f6ster \u00dcbungen \u00fcben, sodass Sie ihn sicher verstehen werden. \ud83d\udc4d\ud83d\udc4d <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-division-de-monomios\"><\/span> Aufgaben zur Division von Monomen gel\u00f6st<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nachfolgend finden Sie einige gel\u00f6ste Schritt-f\u00fcr-Schritt-\u00dcbungen zur Division von Monomen, damit Sie mehr \u00fcben k\u00f6nnen:<\/p>\n<h3 class=\"wp-block-heading\"> \u00dcbung 1<\/h3>\n<p> Berechnen Sie die folgenden Divisionen von Monomen: <\/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-f13f8653e17792161e57a85ef8ff1612_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16y^9: (-2y^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"127\" 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-3c012bc0db39a9e493700ff1e0f2decb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 32x^7:4x^3\" 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-99d4a863ec1228a380719edc64fa9128_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -21a^3:(-3a)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"143\" 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>Sehen Sie sich die L\u00f6sung an<\/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-2472c6981c0401c4756e57d5309d1eb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 16y^9: (-2y^6)= (16:(-2))y^{9-6} = \\bm{-8y^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-c833d5329ddb943fd0ef826535a62844_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 32x^7:4x^3 = (32:4)x^{7-3}= \\bm{8x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" 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-f6efc9649e503af3b0c0c755d8c58e2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -21a^3:(-3a) = (-21:(-3))a^{3-1} = \\bm{7a^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"347\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Beachten Sie, dass wenn eine Variable keinen Exponenten hat, dies bedeutet, dass sie mit 1 potenziert wird. In der letzten Operation also der Term<\/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-e297ef96b1fd873692d6da30b65823ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3a\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"31\" style=\"vertical-align: 0px;\"><\/p>\n<p> Es ist gleichbedeutend mit<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7f09f8ab29587bf19d72a5887b908256_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3a^1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"37\" style=\"vertical-align: 0px;\"><\/p>\n<p> und aus diesem Grund m\u00fcssen wir vom Exponenten des Ergebnisses eine Einheit subtrahieren.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u00dcbung 2<\/h3>\n<p> L\u00f6sen Sie die folgenden Divisionen von Monomen: <\/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-f49202baf0856606519cd58e33aacc3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 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-79fb495267ded40e1312fd6a7f1757c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 45x^{11}y^9z^5 : (-5x^6y^2z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"203\" 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-14587185ef378fdf1d49f22cad61e75b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -11a^5b^9 : (-a^2b^6)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"171\" 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-762e8b754840651b1ca587d33928236d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  42x^5y^3z^6 : 7x^2y^3z^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"170\" 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>Sehen Sie sich die L\u00f6sung an<\/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-e113dcaa918d17364a102a4324e4a3b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 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-4f5a784851fe4b03df091d560899f3ca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ 45x^{11}y^9z^5 : (-5x^6y^2z^3)= \\bm{-9x^5y^7z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"301\" 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-de5d3b92f25ce009d70eb4e122e86be5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -11a^5b^9 : (-a^2b^6) = \\bm{11a^3b^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"245\" 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-625d1260ac08041f2bba7fd2abca8f19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  42x^5y^3z^6 : 7x^2y^3z^4= 6x^3y^0z^2=\\bm{6x^3z^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"321\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> In der letzten Operation haben wir den Begriff vereinfacht<\/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> weil jede auf 0 erh\u00f6hte Zahl gleich 1 ist. Also: <\/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<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u00dcbung 3<\/h3>\n<p> Vereinfachen Sie die folgenden Divisionen von Monomen so weit wie m\u00f6glich: <\/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-f7aad8081273d88d6f7cfb0ff49fe50b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 36x^7y^9z^2 : 6x^2y^4 : 3x^4y^2z\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" 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-ba03c9045daa6dca2a63ea52599f546a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -50a^{12}b^8c^9: (-5a^5b^3c^2) : (-2a^4b^2c^4)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"316\" 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-5fe774e974d252dc8878823240c4ebda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 30x^5y^9z^8 : 2xy^4z^6 :(-3x^2y^3z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"257\" 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-d18d330a8cab5e40dc7a407f87727027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\  48x^8y^6z^{10} : (-6x^4y^{2}z^4) : (-4x^2y^2z^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"307\" 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>Sehen Sie sich die L\u00f6sung an<\/strong> <\/div>\n<\/div>\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-ef96f742c6b84ef74e124d2cf792cd07_l3.png\" height=\"131\" width=\"862\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{A)} \\ 36x^7y^9z^2 : 6x^2y^4 : 3x^4y^2z = <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-15ac883bd26f4f850847be20ea5dc0d6_l3.png&quot; height=&quot;21&quot; width=&quot;145&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[6x^5y^5z^2: 3x^4y^2z =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{2xy^3z}&#8220; title=&#8220;Rendered by QuickLaTeX.com&#8220;><\/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-a193bc76a7252551d169ba5e1b3ffabc_l3.png\" height=\"131\" width=\"625\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{B)} \\ -50a^{12}b^8c^9: (-5a^5b^3c^2) : (-2a^4b^2c^4) = <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-0ba0797d712d4b791a45f22f300f4130_l3.png&quot; height=&quot;22&quot; width=&quot;182&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[10a^7b^5c^7: (-2a^4b^2c^4) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/> \\bm{-5a^3b^3c^3}&#8220; title=&#8220;Rendered by QuickLaTeX.com&#8220;><\/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-b1b0b7fa1a2db103442144f13e4e520d_l3.png\" height=\"131\" width=\"621\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{C)} \\ 30x^5y^9z^8 : 2xy^4z^6 :(-3x^2y^3z) =<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-2747851e41f4874dd100d4d92c193876_l3.png&quot; height=&quot;22&quot; width=&quot;182&quot; class=&quot;ql-img-displayed-equation quicklatex-auto-format&quot; alt=&quot;\\[15x^4y^5z^2:(-3x^2y^3z) =\\]&quot; title=&quot;Rendered by QuickLaTeX.com&quot;\/>\\bm{-5x^2y^2z}&#8220; title=&#8220;Rendered by QuickLaTeX.com&#8220;><\/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-eddc07d9c1c3ff6c84b72b2cb747a608_l3.png\" height=\"131\" width=\"618\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"\\text{D)} \\  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}&#8220; title=&#8220;Rendered by QuickLaTeX.com&#8220;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Wenn Sie sich mehr f\u00fcr die Division von Monomen und Polynomen interessieren, empfehlen wir Ihnen, einen Blick auf <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/de\/regeln-geloste-beispiele-ruffini-ubungen\/\">die Ruffini-Regel<\/a><\/span><\/strong> zu werfen. Denn es handelt sich um eine Methode, die es erm\u00f6glicht, bestimmte Unterteilungen zu vereinfachen und so viel Zeit zu sparen und schneller voranzukommen.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Auf dieser Seite erkl\u00e4ren wir, wie man Monome dividiert. Dar\u00fcber hinaus k\u00f6nnen Sie sich Beispiele f\u00fcr die Division von Monomen ansehen und sogar mit \u00dcbungen \u00fcben, die Schritt f\u00fcr Schritt gel\u00f6st werden. Wie werden Monome geteilt? In der Mathematik ist das Ergebnis der Division von Monomen ein weiteres Monom, dessen Koeffizient dem Quotienten der Koeffizienten &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/de\/division-von-monomen-division-von-beispielen-und-gelosten-ubungen\/\"> <span class=\"screen-reader-text\">Division von monomen<\/span> Weiterlesen &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":[13],"tags":[],"class_list":["post-53","post","type-post","status-publish","format-standard","hentry","category-monome"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Wie werden Monome geteilt? 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