{"id":281,"date":"2023-07-06T22:39:03","date_gmt":"2023-07-06T22:39:03","guid":{"rendered":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/"},"modified":"2023-07-06T22:39:03","modified_gmt":"2023-07-06T22:39:03","slug":"potenz-eines-monoms","status":"publish","type":"post","link":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/","title":{"rendered":"Potenz eines monoms"},"content":{"rendered":"<p>Hier finden Sie die Erkl\u00e4rung, wie man die Potenz eines Monoms berechnet. Dar\u00fcber hinaus k\u00f6nnen Sie mehrere Beispiele f\u00fcr Potenzen von Monomen sehen 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%BFCual-es-la-potencia-de-un-monomio\"><\/span> Was ist die Potenz eines Monoms? <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> <strong>Um in der Mathematik die Potenz eines Monoms zu berechnen, erh\u00f6hen Sie jedes Element des Monoms auf den Potenzexponenten<\/strong> . Mit anderen Worten: Die Potenz eines Monoms besteht darin, seinen Koeffizienten und seine Variablen (Buchstaben) auf den Exponenten der Potenz zu erh\u00f6hen. <\/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=\"Was ist die Potenz eines Monoms?\" class=\"wp-image-362\" width=\"179\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Erinnern Sie sich an die Eigenschaften von Potenzen: Wenn wir einen bereits erhobenen Term erh\u00f6hen, werden die beiden Exponenten miteinander multipliziert. Aus diesem Grund <strong>wird bei der Potenz eines Monoms der Exponent jedes Buchstabens immer mit dem Exponenten multipliziert, der die Potenz angibt<\/strong> .<\/p>\n<p> Andererseits m\u00fcssen wir auch die Tatsache ber\u00fccksichtigen, dass das Ergebnis der Potenz eines Monoms vom Vorzeichen des Monoms abh\u00e4ngt:<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Die Potenz eines positiven Monoms f\u00fchrt immer zu einem weiteren positiven Monom, unabh\u00e4ngig von der Parit\u00e4t des Exponenten:<\/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-193375c970531363b63a4ed9aeabf2f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^5\\right)^2 = 3^2\\left(x^5\\right)^2 = 9x^{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"190\" 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-34989ceec713c9a91e89bb2a5b480cfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(3x^5\\right)^3 = 3^3\\left(x^5\\right)^3 = 27x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"199\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li> <span style=\"color:#000000;font-weight: normal;\">Ein negatives Monom, potenziert mit einem geraden Exponenten, 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-48a6f2ab5e471feee96f99008fdab38c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-3x^5\\right)^2 = (-3)^2\\left(x^5\\right)^2 = 9x^{10}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"232\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li><span style=\"color:#000000;font-weight: normal;\">Ein negatives Monom, das mit einem ungeraden Exponenten potenziert wird, ist immer gleich einem anderen 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-c210f6e82c3c8fb417e7c5088c0cadcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(-3x^5\\right)^3 = (-3)^3\\left(x^5\\right)^3 = -27x^{15}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"255\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-potencias-de-monomios\"><\/span> Beispiele f\u00fcr Potenzen von Monomen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Damit Sie anschaulich verstehen, wie die Potenz eines Monoms berechnet wird, hier einige Beispiele f\u00fcr die Potenz von Monomen: <\/p>\n<ul style=\"color:#ff5733; font-weight: bold;\">\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li style=\"margin-bottom:25px\">\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<\/li>\n<li>\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<\/li>\n<\/ul>\n<p> Wie Sie sehen, ist es relativ einfach, die Potenz eines Monoms zu ermitteln. Einige Operationen mit Monomen sind jedoch komplizierter, beispielsweise Multiplikation und Division. Deshalb empfehlen wir Ihnen, einen Blick auf die folgenden Seiten zu werfen, auf denen erkl\u00e4rt wird, wie <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/de\/algebraische-multiplikation-von-monomen-multiplikation-von-beispielen-und-gelosten-ubungen\/\">man Monome multipliziert<\/a><\/span><\/strong> und wie <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/de\/division-von-monomen,-division-von-beispielen-und-gelosten-ubungen\/\">man Monome dividiert<\/a><\/span><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-la-potencia-de-un-monomio\"><\/span> Probleme der Potenz eines Monoms gel\u00f6st<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nachfolgend finden Sie Schritt f\u00fcr Schritt mehrere gel\u00f6ste \u00dcbungen zu Monompotenzen, damit Sie mehr \u00fcben k\u00f6nnen:<\/p>\n<h3 class=\"wp-block-heading\"> \u00dcbung 1<\/h3>\n<p> Berechnen Sie die folgenden Potenzen der Monome: <\/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-d6f2ba93dfed5bc85b09053c83b88ef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(2x^5\\right)^4\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"78\" 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-1c8ab8f00932480e0953058f0f743ca4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-2a^7\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"92\" 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-867a4f9c84a73e4dbb37786b7e5f8c04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(7x^3\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"79\" 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>siehe L\u00f6sung<\/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-77111203309c0cb451f18f435bc9860a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(2x^5\\right)^4=2^4\\left(x^5\\right)^4 = 2^4x^{5\\cdot 4} = \\bm{16x^{20}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"298\" 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-53f7351467b22d0b80e98b9b6324ca19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\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-abe3e5c5ab2dd7c19ada4ce2687d9f2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(7x^3\\right)^3 =7^3\\left(x^3\\right)^3 = 7^3x^{3\\cdot 3} = \\bm{343x^{9}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"301\" 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\">\u00dcbung 2<\/h3>\n<p> L\u00f6sen Sie die folgenden Potenzen 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-4e9b47dffd06da80cf9b711982ddbcfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\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-6310215b988e0b2e4556425f75dcc5be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-x^3y^5z^4\\right)^6\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"117\" 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-ba7dd3405f652ab6b9f73d75aafde6de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-3x^3yz\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"111\" 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-4427cc3cf1fa9aebe3473d6db57381e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\left(-2x^5y^4\\right)^5\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" 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>siehe L\u00f6sung<\/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-6e47970fe7ab8f9b3ba0f920f0b2d2aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ \\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=\"304\" 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-3b187efacbe5cc3ab945529456309fca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ \\left(-x^3y^5z^4\\right)^6=(-1)^6\\left(x^3y^5z^4\\right)^6 = \\bm{x^{18}y^{30}z^{24}}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"359\" 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-1599cfc710d1440c7c840ec4e4d02832_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ \\left(-3x^3yz\\right)^3=(-3)^3\\left(x^3yz\\right)^3 = \\bm{-27x^9y^3z^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"348\" 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-c1beb5e3d67487de00e2bec3da29a165_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ \\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=\"343\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<p> Wenn Sie es bis hierher geschafft haben, wissen Sie bereits, wie man \u00dcbungen zu Potenzen von Monomen l\u00f6st. Perfekt!\ud83d\udc4dDer n\u00e4chste Schritt besteht darin, zu lernen, wie man kombinierte Operationen mit Monomen berechnet (mehr als eine Operation gleichzeitig). Es ist also an der Zeit, auf die n\u00e4chste Stufe zu gehen und diese \ud83d\udc49\ud83d\udc49 <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/de\/operationen-mit-monomen-beispiele-und-ubungen-gelost-1-2-3-4-welche\/\">gel\u00f6sten \u00dcbungen zu Operationen mit Monomen<\/a><\/span><\/strong> auszuprobieren!\ud83d\udc48\ud83d\udc48<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Hier finden Sie die Erkl\u00e4rung, wie man die Potenz eines Monoms berechnet. Dar\u00fcber hinaus k\u00f6nnen Sie mehrere Beispiele f\u00fcr Potenzen von Monomen sehen und sogar mit \u00dcbungen \u00fcben, die Schritt f\u00fcr Schritt gel\u00f6st werden. Was ist die Potenz eines Monoms? Um in der Mathematik die Potenz eines Monoms zu berechnen, erh\u00f6hen Sie jedes Element des &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\"> <span class=\"screen-reader-text\">Potenz eines monoms<\/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-281","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>Potenz eines Monoms \u2013 Mathematik<\/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\/de\/potenz-eines-monoms\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Potenz eines Monoms \u2013 Mathematik\" \/>\n<meta property=\"og:description\" content=\"Hier finden Sie die Erkl\u00e4rung, wie man die Potenz eines Monoms berechnet. Dar\u00fcber hinaus k\u00f6nnen Sie mehrere Beispiele f\u00fcr Potenzen von Monomen sehen und sogar mit \u00dcbungen \u00fcben, die Schritt f\u00fcr Schritt gel\u00f6st werden. Was ist die Potenz eines Monoms? Um in der Mathematik die Potenz eines Monoms zu berechnen, erh\u00f6hen Sie jedes Element des &hellip; Potenz eines monoms Weiterlesen &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T22:39:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-dun-monome-exemple.png\" \/>\n<meta name=\"author\" content=\"Mathority Mannschaft\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority Mannschaft\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"2\u00a0Minuten\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\"},\"author\":{\"name\":\"Mathority Mannschaft\",\"@id\":\"https:\/\/mathority.org\/de\/#\/schema\/person\/c7da97cc1c90fc5e022a3dd06a76d3be\"},\"headline\":\"Potenz eines monoms\",\"datePublished\":\"2023-07-06T22:39:03+00:00\",\"dateModified\":\"2023-07-06T22:39:03+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\"},\"wordCount\":396,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/de\/#organization\"},\"articleSection\":[\"Monome\"],\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\",\"url\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\",\"name\":\"Potenz eines Monoms \u2013 Mathematik\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/de\/#website\"},\"datePublished\":\"2023-07-06T22:39:03+00:00\",\"dateModified\":\"2023-07-06T22:39:03+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Potenz eines monoms\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/de\/#website\",\"url\":\"https:\/\/mathority.org\/de\/\",\"name\":\"Mathority\",\"description\":\"Wo Neugierde auf Berechnung trifft!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/de\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/de\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/de\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/de\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/mathority.org\/de\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/de\/wp-content\/uploads\/2023\/09\/mathority-log.png\",\"contentUrl\":\"https:\/\/mathority.org\/de\/wp-content\/uploads\/2023\/09\/mathority-log.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/de\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/de\/#\/schema\/person\/c7da97cc1c90fc5e022a3dd06a76d3be\",\"name\":\"Mathority Mannschaft\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/mathority.org\/de\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Mathority Mannschaft\"},\"sameAs\":[\"http:\/\/mathority.org\/de\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Potenz eines Monoms \u2013 Mathematik","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/","og_locale":"de_DE","og_type":"article","og_title":"Potenz eines Monoms \u2013 Mathematik","og_description":"Hier finden Sie die Erkl\u00e4rung, wie man die Potenz eines Monoms berechnet. Dar\u00fcber hinaus k\u00f6nnen Sie mehrere Beispiele f\u00fcr Potenzen von Monomen sehen und sogar mit \u00dcbungen \u00fcben, die Schritt f\u00fcr Schritt gel\u00f6st werden. Was ist die Potenz eines Monoms? Um in der Mathematik die Potenz eines Monoms zu berechnen, erh\u00f6hen Sie jedes Element des &hellip; Potenz eines monoms Weiterlesen &raquo;","og_url":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/","article_published_time":"2023-07-06T22:39:03+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/puissance-dun-monome-exemple.png"}],"author":"Mathority Mannschaft","twitter_card":"summary_large_image","twitter_misc":{"Verfasst von":"Mathority Mannschaft","Gesch\u00e4tzte Lesezeit":"2\u00a0Minuten"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/"},"author":{"name":"Mathority Mannschaft","@id":"https:\/\/mathority.org\/de\/#\/schema\/person\/c7da97cc1c90fc5e022a3dd06a76d3be"},"headline":"Potenz eines monoms","datePublished":"2023-07-06T22:39:03+00:00","dateModified":"2023-07-06T22:39:03+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/"},"wordCount":396,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/de\/#organization"},"articleSection":["Monome"],"inLanguage":"de","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/de\/potenz-eines-monoms\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/","url":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/","name":"Potenz eines Monoms \u2013 Mathematik","isPartOf":{"@id":"https:\/\/mathority.org\/de\/#website"},"datePublished":"2023-07-06T22:39:03+00:00","dateModified":"2023-07-06T22:39:03+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#breadcrumb"},"inLanguage":"de","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/de\/potenz-eines-monoms\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/de\/potenz-eines-monoms\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/de\/"},{"@type":"ListItem","position":2,"name":"Potenz eines monoms"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/de\/#website","url":"https:\/\/mathority.org\/de\/","name":"Mathority","description":"Wo Neugierde auf Berechnung trifft!","publisher":{"@id":"https:\/\/mathority.org\/de\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/de\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"de"},{"@type":"Organization","@id":"https:\/\/mathority.org\/de\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/de\/","logo":{"@type":"ImageObject","inLanguage":"de","@id":"https:\/\/mathority.org\/de\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/de\/wp-content\/uploads\/2023\/09\/mathority-log.png","contentUrl":"https:\/\/mathority.org\/de\/wp-content\/uploads\/2023\/09\/mathority-log.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/de\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/de\/#\/schema\/person\/c7da97cc1c90fc5e022a3dd06a76d3be","name":"Mathority Mannschaft","image":{"@type":"ImageObject","inLanguage":"de","@id":"https:\/\/mathority.org\/de\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Mathority Mannschaft"},"sameAs":["http:\/\/mathority.org\/de"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/posts\/281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/comments?post=281"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/posts\/281\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/media?parent=281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/categories?post=281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/de\/wp-json\/wp\/v2\/tags?post=281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}