{"id":242049,"date":"2025-07-04T05:18:45","date_gmt":"2025-07-04T05:18:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242049"},"modified":"2025-07-04T05:18:47","modified_gmt":"2025-07-04T05:18:47","slug":"find-the-value-of-2-to-the-power-zero-7-to-the-power-0-5-to-the-power-0","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/find-the-value-of-2-to-the-power-zero-7-to-the-power-0-5-to-the-power-0\/","title":{"rendered":"Find the value of 2 to the power zero + 7 to the power 0 \/ 5 to the power 0"},"content":{"rendered":"\n<p>Find the value of 2 to the power zero + 7 to the power 0 \/ 5 to the power 0<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The expression is: 20+70502^0 + \\frac{7^0}{5^0}<\/p>\n\n\n\n<p>Let&#8217;s break this down step-by-step.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Evaluating the Powers<\/h3>\n\n\n\n<p>In mathematics, any non-zero number raised to the power of zero is equal to 1. This rule applies to all numbers except zero itself.<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>20=12^0 = 1<\/li>\n\n\n\n<li>70=17^0 = 1<\/li>\n\n\n\n<li>50=15^0 = 1<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Substituting the Values<\/h3>\n\n\n\n<p>Now substitute these values back into the original expression: 20+7050=1+112^0 + \\frac{7^0}{5^0} = 1 + \\frac{1}{1}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplifying the Fraction<\/h3>\n\n\n\n<p>Since 11=1\\frac{1}{1} = 1, the expression becomes: 1+1=21 + 1 = 2<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The value of the expression is 2\\boxed{2}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Concept<\/h3>\n\n\n\n<p>The exponentiation rule stating that any number raised to the power of zero equals 1 is a fundamental property in mathematics. This rule helps simplify many expressions and is critical in algebra, calculus, and other fields.<\/p>\n\n\n\n<p>In the given problem, the powers of 2, 7, and 5 are all zero. As a result, the values of 202^0, 707^0, and 505^0 are each 1. The fraction 7050\\frac{7^0}{5^0} simplifies to 11=1\\frac{1}{1} = 1, so the entire expression simplifies to 1+1=21 + 1 = 2.<\/p>\n\n\n\n<p>This is a simple example of how understanding the rules of exponents can help quickly evaluate expressions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Find the value of 2 to the power zero + 7 to the power 0 \/ 5 to the power 0 The correct answer and explanation is: The expression is: 20+70502^0 + \\frac{7^0}{5^0} Let&#8217;s break this down step-by-step. Step 1: Evaluating the Powers In mathematics, any non-zero number raised to the power of zero is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-242049","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242049","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=242049"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242049\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}