{"id":264413,"date":"2025-07-21T12:56:44","date_gmt":"2025-07-21T12:56:44","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=264413"},"modified":"2025-07-21T12:56:46","modified_gmt":"2025-07-21T12:56:46","slug":"which-result-is-different-simplify","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/which-result-is-different-simplify\/","title":{"rendered":"Which result is different? Simplify"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-626.png\" alt=\"\" class=\"wp-image-264414\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is determined by simplifying each of the four mathematical expressions and then comparing the results.<\/p>\n\n\n\n<p><strong>Different answer:<\/strong>&nbsp;<strong>B<\/strong><br><strong>Same answer:<\/strong>&nbsp;<strong>A and D<\/strong><\/p>\n\n\n\n<p>Here is a detailed explanation of how to arrive at these answers:<\/p>\n\n\n\n<p>The problem asks us to evaluate four different expressions and identify which one yields a different result and which ones yield the same result. Let&#8217;s analyze each option step by step.<\/p>\n\n\n\n<p><strong>1. Simplify 3\u00b3 \u22c5 3\u2076<\/strong><br>This expression involves the multiplication of two powers with the same base, which is 3. According to the product of powers rule in exponentiation (x\u1d43 \u22c5 x\u1d47 = x\u1d43\u207a\u1d47), we add the exponents.<br>3\u00b3 \u22c5 3\u2076 = 3\u207d\u00b3\u207a\u2076\u207e = 3\u2079.<\/p>\n\n\n\n<p><strong>2. Simplify 3\u00b3 + 6<\/strong><br>This expression involves an exponent and an addition. Following the order of operations, we must calculate the exponent first.<br>3\u00b3 = 3 \u00d7 3 \u00d7 3 = 27.<br>Next, we perform the addition:<br>27 + 6 = 33.<\/p>\n\n\n\n<p><strong>3. Simplify 3\u2076 \u22c5 3<\/strong><br>This is another multiplication of powers with the same base. The term &#8216;3&#8217; can be written as 3\u00b9. Applying the same product of powers rule:<br>3\u2076 \u22c5 3\u00b9 = 3\u207d\u2076\u207a\u00b9\u207e = 3\u2077.<\/p>\n\n\n\n<p><strong>4. Simplify 3\u2076 \u22c5 3\u00b3<\/strong><br>Similar to the first option, we apply the product of powers rule by adding the exponents.<br>3\u2076 \u22c5 3\u00b3 = 3\u207d\u2076\u207a\u00b3\u207e = 3\u2079.<\/p>\n\n\n\n<p><strong>Comparison of the Results<\/strong><\/p>\n\n\n\n<p>Now, let&#8217;s compare the simplified form of each expression:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Result A: 3\u2079<\/li>\n\n\n\n<li>Result B: 33<\/li>\n\n\n\n<li>Result C: 3\u2077<\/li>\n\n\n\n<li>Result D: 3\u2079<\/li>\n<\/ul>\n\n\n\n<p>From this comparison, we can draw two conclusions.<\/p>\n\n\n\n<p>First, the expressions in options A and D produce the same result: 3\u2079. This is because multiplication is commutative (a \u22c5 b = b \u22c5 a), so 3\u00b3 \u22c5 3\u2076 is equivalent to 3\u2076 \u22c5 3\u00b3. Therefore, A and D have the same answer.<\/p>\n\n\n\n<p>Second, option B is the one that is fundamentally different. While options A, C, and D are all multiplications that simplify to a power of 3, option B is an addition problem. Its result, 33, is not a simple power of 3. While option C also has a unique numerical value (3\u2077 = 2,187), option B is the most distinct in terms of the mathematical operation used and the form of its result. Thus, B is the &#8220;different answer&#8221;.<\/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-banner6-1397.jpeg\" alt=\"\" class=\"wp-image-264415\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is determined by simplifying each of the four mathematical expressions and then comparing the results. Different answer:&nbsp;BSame answer:&nbsp;A and D Here is a detailed explanation of how to arrive at these answers: The problem asks us to evaluate four different expressions and identify which one yields [&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-264413","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264413","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=264413"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264413\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=264413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=264413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=264413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}