{"id":163125,"date":"2024-11-08T08:01:38","date_gmt":"2024-11-08T08:01:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=163125"},"modified":"2024-11-08T08:01:41","modified_gmt":"2024-11-08T08:01:41","slug":"which-of-the-following-expressions-is-equivalent-to-b-x-b","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/08\/which-of-the-following-expressions-is-equivalent-to-b-x-b\/","title":{"rendered":"Which of the following expressions is equivalent to b x b"},"content":{"rendered":"\n

Which of the following expressions is equivalent to b x b? A. 2b B.) b^2 C.)2^b D.)2b^2<\/p>\n\n\n\n

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

The correct answer is B) b\u00b2<\/strong>.<\/p>\n\n\n\n

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

In mathematics, the expression ( b \\times b ) is simply the multiplication of the number or variable ( b ) by itself. This is an example of exponentiation<\/strong>, where the base is ( b ) and the exponent (or power) is 2.<\/p>\n\n\n\n

When we multiply ( b ) by itself, it is the same as writing ( b^2 ), which is read as “b squared.” This is a standard notation in algebra where:<\/p>\n\n\n\n

[
b \\times b = b^2
]<\/p>\n\n\n\n

Now, let’s break down why the other options are not equivalent to ( b \\times b ):<\/p>\n\n\n\n

    \n
  • A) 2b<\/strong>: This is the expression where ( 2 ) is multiplied by ( b ), which is not the same as multiplying ( b ) by itself. Therefore, it is incorrect.<\/li>\n\n\n\n
  • C) 2^b<\/strong>: This means 2 raised to the power of ( b ), which is a different mathematical operation. It suggests that the base is 2, not ( b ), and the exponent is ( b ). This is not the same as ( b \\times b ), so it is also incorrect.<\/li>\n\n\n\n
  • D) 2b\u00b2<\/strong>: This expression means 2 multiplied by ( b^2 ), which is not the same as ( b \\times b ). The presence of the coefficient 2 in front of ( b^2 ) changes the value, so it is also not equivalent.<\/li>\n<\/ul>\n\n\n\n

    Why ( b^2 )?<\/h3>\n\n\n\n

    The operation ( b \\times b ) is the definition of squaring<\/strong> a number or variable. When we square a number, we are multiplying it by itself, and the notation for this operation is ( b^2 ). Exponentiation is a shorthand for repeated multiplication, and ( b^2 ) represents the result of multiplying ( b ) by itself.<\/p>\n\n\n\n

    Thus, ( b \\times b = b^2 ) is the simplest and most accurate representation of the expression.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Which of the following expressions is equivalent to b x b? A. 2b B.) b^2 C.)2^b D.)2b^2 The Correct Answer and Explanation is : The correct answer is B) b\u00b2. Explanation: In mathematics, the expression ( b \\times b ) is simply the multiplication of the number or variable ( b ) by itself. This […]<\/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-163125","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163125","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=163125"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163125\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}