{"id":145797,"date":"2024-09-28T05:37:25","date_gmt":"2024-09-28T05:37:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145797"},"modified":"2024-09-28T05:37:27","modified_gmt":"2024-09-28T05:37:27","slug":"what-expressions-are-equivalent-to-2-to-the-power-of-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/28\/what-expressions-are-equivalent-to-2-to-the-power-of-6\/","title":{"rendered":"What expressions are equivalent to 2 to the power of 6"},"content":{"rendered":"\n

What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2×6
D.4×16
E.12×12
F.8×8<\/p>\n\n\n\n

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

The expression that is equivalent to (2^6) (2 to the power of 6) is B. (2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2)<\/strong>.<\/p>\n\n\n\n

Breakdown:<\/h3>\n\n\n\n
    \n
  • (2^6) means multiplying 2 by itself six times:
    [
    2^6 = 2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2 = 64
    ]
    This matches option B<\/strong>, where 2 is multiplied six times to give a result of 64.<\/li>\n<\/ul>\n\n\n\n

    Why Other Options Are Incorrect:<\/h3>\n\n\n\n
      \n
    • A. (6 \\times 6 \\times 6 \\times 6 \\times 6 \\times 6)<\/strong>: This represents (6^6), not (2^6). Multiplying six by itself six times results in a much larger number:
      [
      6 \\times 6 \\times 6 \\times 6 \\times 6 \\times 6 = 46656
      ]
      This is not equivalent to 64, so it’s incorrect.<\/li>\n\n\n\n
    • C. (2 \\times 6)<\/strong>: This simplifies to 12, not 64. It\u2019s just a basic multiplication and doesn\u2019t reflect repeated multiplication as in (2^6).<\/li>\n\n\n\n
    • D. (4 \\times 16)<\/strong>: While this is closer, it equals 64 by coincidence, but it doesn\u2019t express (2^6). Instead, it represents (4^1 \\times 16^1), which isn’t the correct breakdown for (2^6).<\/li>\n\n\n\n
    • E. (12 \\times 12)<\/strong>: This equals 144, which is much larger than 64 and doesn’t involve base 2.<\/li>\n\n\n\n
    • F. (8 \\times 8)<\/strong>: This equals 64, but like option D, it’s coincidental. (8 \\times 8) results from multiplying powers of 2 (since (8 = 2^3)), but it doesn’t directly reflect (2^6).<\/li>\n<\/ul>\n\n\n\n

      Thus, B. (2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2)<\/strong> is the only option that properly represents (2^6).<\/p>\n","protected":false},"excerpt":{"rendered":"

      What expressions are equivalent to 2 to the power of 6A. 6x6x6x6x6x6B.2x2x2x2x2x2C.2×6D.4×16E.12×12F.8×8 The Correct Answer and Explanation is : The expression that is equivalent to (2^6) (2 to the power of 6) is B. (2 \\times 2 \\times 2 \\times 2 \\times 2 \\times 2). Breakdown: Why Other Options Are Incorrect: Thus, B. (2 \\times […]<\/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-145797","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145797","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=145797"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145797\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}