{"id":242052,"date":"2025-07-04T05:46:33","date_gmt":"2025-07-04T05:46:33","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242052"},"modified":"2025-07-04T05:46:35","modified_gmt":"2025-07-04T05:46:35","slug":"find-the-value-of-2-to-the-power-zero-7-to-the-power-0-5-to-the-power-0-2","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-0-2\/","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<br><\/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 given expression is: 20+70502^0 + \\frac{7^0}{5^0}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplify Each Term<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>2^0<\/strong>: Any non-zero number raised to the power of 0 is always 1. Therefore:<\/li>\n<\/ul>\n\n\n\n<p>20=12^0 = 1<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>7^0<\/strong>: Similarly, 7 raised to the power of 0 is 1. Thus:<\/li>\n<\/ul>\n\n\n\n<p>70=17^0 = 1<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>5^0<\/strong>: Again, 5 raised to the power of 0 is 1. Hence:<\/li>\n<\/ul>\n\n\n\n<p>50=15^0 = 1<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Substitute Values into the Expression<\/h3>\n\n\n\n<p>Now substitute the values we found into the original expression: 1+111 + \\frac{1}{1}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>11=1\\frac{1}{1} = 1<\/li>\n<\/ul>\n\n\n\n<p>So, the expression simplifies to: 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 <strong>2<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Exponents are a shorthand way of writing repeated multiplication. Any number (except zero) raised to the power of 0 is defined as 1. This is known as the <strong>zero exponent rule<\/strong>. When dealing with the fraction part, both the numerator and denominator are raised to the power of 0, which results in 1. This simplifies the fraction to 1. Adding the 1 from 202^0 and the 1 from the fraction gives a final result of 2. This is a basic property of exponents that helps simplify expressions quickly.<\/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 given expression is: 20+70502^0 + \\frac{7^0}{5^0} Step 1: Simplify Each Term 20=12^0 = 1 70=17^0 = 1 50=15^0 = 1 Step 2: Substitute Values into the Expression [&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-242052","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242052","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=242052"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242052\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242052"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242052"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242052"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}