{"id":149069,"date":"2024-10-06T18:16:36","date_gmt":"2024-10-06T18:16:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=149069"},"modified":"2024-10-06T18:16:39","modified_gmt":"2024-10-06T18:16:39","slug":"in-the-expression-3x2-y-%e2%88%92-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/06\/in-the-expression-3x2-y-%e2%88%92-5\/","title":{"rendered":"In the expression 3×2 + y \u2212 5"},"content":{"rendered":"\n

In the expression 3×2 + y \u2212 5, which of the following choices is the exponent in the term 3×2?<\/p>\n\n\n\n

The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

In the expression 3x\u00b2 + y \u2212 5<\/strong>, the exponent in the term 3x\u00b2<\/strong> is 2<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

In algebra, an exponent refers to the number that indicates how many times the base (in this case, x<\/strong>) is multiplied by itself. The term 3x\u00b2<\/strong> consists of three parts:<\/p>\n\n\n\n

    \n
  • The coefficient<\/strong>: The number in front of the variable, which is 3<\/strong>.<\/li>\n\n\n\n
  • The variable<\/strong>: In this case, the letter x<\/strong> represents an unknown quantity.<\/li>\n\n\n\n
  • The exponent<\/strong>: The small number written as a superscript (\u00b2 in this case) to the right of the variable, which tells you how many times the variable is multiplied by itself.<\/li>\n<\/ul>\n\n\n\n

    In 3x\u00b2<\/strong>, the variable is x<\/strong>, and the exponent is 2<\/strong>. This means that x<\/strong> is multiplied by itself once (i.e., x * x<\/strong>), and the result is then multiplied by the coefficient (3 in this case). So the entire term represents 3 times x-squared<\/strong>.<\/p>\n\n\n\n

    More on Exponents:<\/h4>\n\n\n\n

    Exponents play a significant role in algebra and are a key part of understanding the relationship between numbers and variables. When a variable has an exponent, it tells you how many times the base variable is repeated as a factor. For example, in x\u00b2<\/strong>, the exponent 2<\/strong> indicates that x<\/strong> is multiplied by itself once: x * x<\/strong>.<\/p>\n\n\n\n

    If there were no exponent written, it would be understood as 1<\/strong> by default. For example, x<\/strong> is the same as x\u00b9<\/strong> because any number raised to the power of 1 is itself. Similarly, a term without a variable (such as -5<\/strong>) can be considered as -5x\u2070<\/strong>, because any number raised to the power of 0<\/strong> equals 1<\/strong>.<\/p>\n\n\n\n

    Thus, in 3x\u00b2<\/strong>, the 2<\/strong> is the exponent, and it plays a key role in determining the value of the term.<\/p>\n","protected":false},"excerpt":{"rendered":"

    In the expression 3×2 + y \u2212 5, which of the following choices is the exponent in the term 3×2? The Correct Answer and Explanation is : In the expression 3x\u00b2 + y \u2212 5, the exponent in the term 3x\u00b2 is 2. Explanation: In algebra, an exponent refers to the number that indicates how […]<\/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-149069","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149069","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=149069"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149069\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}