{"id":248582,"date":"2025-07-08T13:39:50","date_gmt":"2025-07-08T13:39:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=248582"},"modified":"2025-07-08T13:39:53","modified_gmt":"2025-07-08T13:39:53","slug":"simplify-26-268","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/08\/simplify-26-268\/","title":{"rendered":"Simplify: 26 * 26^8"},"content":{"rendered":"\n<p>Simplify: 26 * 26^8<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To simplify the expression 26\u00d726826 \\times 26^826\u00d7268, we can use the <strong>law of exponents<\/strong>. Specifically, the rule states: am\u00d7an=am+na^m \\times a^n = a^{m+n}am\u00d7an=am+n<\/p>\n\n\n\n<p>In this case, we have: 26\u00d726826 \\times 26^826\u00d7268<\/p>\n\n\n\n<p>The number 26 is the same base as 26826^8268, so we can apply the exponent rule: 261\u00d7268=261+8=26926^1 \\times 26^8 = 26^{1+8} = 26^9261\u00d7268=261+8=269<\/p>\n\n\n\n<p>Thus, the simplified expression is: 26926^9269<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Recognizing the same base: Both 26 and 26826^8268 share the same base (26), so we can apply the exponent rule for multiplying powers of the same base.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Adding the exponents: Using the rule am\u00d7an=am+na^m \\times a^n = a^{m+n}am\u00d7an=am+n, we add the exponents 1 and 8 to get 9.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: The result: The simplified expression is 26926^9269.<\/li>\n<\/ul>\n\n\n\n<p>If you were to evaluate 26926^9269, you would calculate 262626 raised to the 9th power, which would give a much larger number. However, unless specified, the final simplified form is usually left as 26926^9269 unless numerical evaluation is requested.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-266.jpeg\" alt=\"\" class=\"wp-image-248583\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Simplify: 26 * 26^8 The Correct Answer and Explanation is: To simplify the expression 26\u00d726826 \\times 26^826\u00d7268, we can use the law of exponents. Specifically, the rule states: am\u00d7an=am+na^m \\times a^n = a^{m+n}am\u00d7an=am+n In this case, we have: 26\u00d726826 \\times 26^826\u00d7268 The number 26 is the same base as 26826^8268, so we can apply the [&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-248582","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248582","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=248582"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248582\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}