{"id":160613,"date":"2024-11-03T07:35:56","date_gmt":"2024-11-03T07:35:56","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160613"},"modified":"2024-11-03T07:35:58","modified_gmt":"2024-11-03T07:35:58","slug":"rewrite-9x9x9x9-using-an-exponent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/03\/rewrite-9x9x9x9-using-an-exponent\/","title":{"rendered":"Rewrite 9\u00d79\u00d79\u00d79 using an exponent"},"content":{"rendered":"\n<p>Rewrite 9\u00d79\u00d79\u00d79 using an exponent.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The expression ( 9 \\times 9 \\times 9 \\times 9 ) can be rewritten using exponents as ( 9^4 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In mathematics, exponents are a shorthand way of expressing repeated multiplication of the same number. The general form for an exponent is ( a^n ), where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( a ) is the base,<\/li>\n\n\n\n<li>( n ) is the exponent, which indicates how many times the base is multiplied by itself.<\/li>\n<\/ul>\n\n\n\n<p>In the expression ( 9 \\times 9 \\times 9 \\times 9 ), we see that the number 9 is being multiplied together four times. Thus, the exponent ( 4 ) represents the number of times the base ( 9 ) is multiplied by itself.<\/p>\n\n\n\n<p>To illustrate this further, let\u2019s break down the process of rewriting the expression with an exponent:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the Base<\/strong>: Here, the base is ( 9 ).<\/li>\n\n\n\n<li><strong>Count the Factors<\/strong>: We have four factors of ( 9 ) in the multiplication.<\/li>\n\n\n\n<li><strong>Write the Exponential Form<\/strong>: Since we have four ( 9 )s being multiplied, we can express this as ( 9^4 ).<\/li>\n<\/ol>\n\n\n\n<p>Now, let&#8217;s calculate ( 9^4 ):<\/p>\n\n\n\n<p>[<br>9^4 = 9 \\times 9 \\times 9 \\times 9<br>]<br>Calculating it step-by-step:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, calculate ( 9 \\times 9 = 81 ).<\/li>\n\n\n\n<li>Next, take that result and multiply it by ( 9 ): ( 81 \\times 9 = 729 ).<\/li>\n\n\n\n<li>Finally, multiply ( 729 ) by ( 9 ) again: ( 729 \\times 9 = 6561 ).<\/li>\n<\/ul>\n\n\n\n<p>Thus, ( 9^4 = 6561 ).<\/p>\n\n\n\n<p>In summary, the expression ( 9 \\times 9 \\times 9 \\times 9 ) can be succinctly rewritten as ( 9^4 ), which equals ( 6561 ). Using exponents not only simplifies expressions but also makes calculations more manageable, particularly when dealing with larger numbers or more complex mathematical problems.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rewrite 9\u00d79\u00d79\u00d79 using an exponent. The Correct Answer and Explanation is : The expression ( 9 \\times 9 \\times 9 \\times 9 ) can be rewritten using exponents as ( 9^4 ). Explanation: In mathematics, exponents are a shorthand way of expressing repeated multiplication of the same number. The general form for an exponent 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-160613","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160613","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=160613"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160613\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160613"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160613"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}