{"id":147881,"date":"2024-10-03T13:42:00","date_gmt":"2024-10-03T13:42:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=147881"},"modified":"2024-10-03T13:42:02","modified_gmt":"2024-10-03T13:42:02","slug":"which-expression-is-equivalent-to-st6-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/03\/which-expression-is-equivalent-to-st6-2\/","title":{"rendered":"Which expression is equivalent to (st)(6)"},"content":{"rendered":"\n<p>Which expression is equivalent to (st)(6)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To simplify the expression ((st)(6)), we follow the basic rules of multiplication. The given expression consists of two parts: (st) and (6). Here\u2019s how we can break it down step by step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the Components<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In the expression (st), (s) and (t) are likely variables, which means they can represent any value. The (6) is a constant number.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Applying the Distributive Property<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In multiplication, the order of multiplication does not change the result (commutative property). Therefore, we can rearrange the multiplication without changing the meaning of the expression. Specifically, we can write:<br>[<br>(st)(6) = 6(st)<br>]<br>or equivalently,<br>[<br>(st)(6) = s(6t)<br>]<br>or<br>[<br>(st)(6) = t(6s)<br>]<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Final Expression<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The simplest and most common way to express ((st)(6)) is to multiply the constant with the variable product:<br>[<br>6st<br>]<br>This is an equivalent expression where the (6) is multiplied by the product of (s) and (t).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Context and Usage<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This form (6st) is often used in algebraic contexts where one needs to express a product more clearly. It simplifies calculations in equations or formulas, especially in areas like physics, chemistry, or economics, where multiple variables and constants frequently interact. By expressing the multiplication in a compact form, it\u2019s easier to manipulate equations and understand relationships between variables.<\/li>\n<\/ul>\n\n\n\n<p>In conclusion, the expression ((st)(6)) simplifies to (6st). This maintains the original value while presenting it in a format that is often more useful for further mathematical operations or interpretations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to (st)(6) The correct Answer and Explanation is: To simplify the expression ((st)(6)), we follow the basic rules of multiplication. The given expression consists of two parts: (st) and (6). Here\u2019s how we can break it down step by step: In conclusion, the expression ((st)(6)) simplifies to (6st). This maintains the [&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-147881","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147881","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=147881"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147881\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147881"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147881"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147881"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}