{"id":167416,"date":"2024-11-15T17:24:03","date_gmt":"2024-11-15T17:24:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167416"},"modified":"2024-11-15T17:24:05","modified_gmt":"2024-11-15T17:24:05","slug":"evaluate-the-following-expression-when-x-6-and-y-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/15\/evaluate-the-following-expression-when-x-6-and-y-2\/","title":{"rendered":"Evaluate the following expression when x = 6 and y = 2"},"content":{"rendered":"\n<p>Evaluate the following expression when x = 6 and y = 2:<br>x\u00b2 + y\u00b3<br>2 + \u00d7\u200b<\/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>To evaluate the expression ( x^2 + y^3 ) when ( x = 6 ) and ( y = 2 ), follow these steps:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Substitute the values of ( x ) and ( y ) into the expression.<\/h3>\n\n\n\n<p>The given expression is:<\/p>\n\n\n\n<p>[<br>x^2 + y^3<br>]<\/p>\n\n\n\n<p>Substitute ( x = 6 ) and ( y = 2 ):<\/p>\n\n\n\n<p>[<br>6^2 + 2^3<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the powers of ( x ) and ( y ).<\/h3>\n\n\n\n<p>First, calculate ( 6^2 ):<\/p>\n\n\n\n<p>[<br>6^2 = 6 \\times 6 = 36<br>]<\/p>\n\n\n\n<p>Next, calculate ( 2^3 ):<\/p>\n\n\n\n<p>[<br>2^3 = 2 \\times 2 \\times 2 = 8<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Add the results.<\/h3>\n\n\n\n<p>Now, add the results of ( 6^2 ) and ( 2^3 ):<\/p>\n\n\n\n<p>[<br>36 + 8 = 44<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The value of the expression ( x^2 + y^3 ) when ( x = 6 ) and ( y = 2 ) is <strong>44<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The expression consists of two parts: ( x^2 ) and ( y^3 ). These parts involve exponentiation, where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( x^2 ) means ( x ) multiplied by itself (the square of ( x )).<\/li>\n\n\n\n<li>( y^3 ) means ( y ) multiplied by itself three times (the cube of ( y )).<\/li>\n<\/ul>\n\n\n\n<p>By substituting the values of ( x ) and ( y ) into the expression, we compute ( 6^2 = 36 ) and ( 2^3 = 8 ). Then, we add the two results to obtain ( 36 + 8 = 44 ).<\/p>\n\n\n\n<p>Understanding how to perform basic exponentiation (raising numbers to powers) and then applying those calculations is key in solving this type of problem.<\/p>\n\n\n\n<p>This step-by-step approach ensures clarity and accuracy when evaluating similar expressions, and recognizing how to break down exponents into repeated multiplication is fundamental to solving such problems efficiently.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Evaluate the following expression when x = 6 and y = 2:x\u00b2 + y\u00b32 + \u00d7\u200b The Correct Answer and Explanation is: To evaluate the expression ( x^2 + y^3 ) when ( x = 6 ) and ( y = 2 ), follow these steps: Step 1: Substitute the values of ( x ) [&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-167416","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167416","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=167416"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167416\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}