{"id":982,"date":"2022-02-02T06:50:17","date_gmt":"2022-02-02T06:50:17","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=982"},"modified":"2022-02-02T06:50:17","modified_gmt":"2022-02-02T06:50:17","slug":"exponents","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/02\/02\/exponents\/","title":{"rendered":"Exponents"},"content":{"rendered":"\n<p><strong>Skills needed: <\/strong><\/p>\n\n\n\n<p>Multiplication<\/p>\n\n\n\n<p> Using exponents is just a short way of saying that you want to multiply something by itself a number of times. Let&#8217;s say for example that you want to do the following: <\/p>\n\n\n\n<p>4 x 4 x 4<\/p>\n\n\n\n<p> This could be written with exponents and would look like this: <\/p>\n\n\n\n<p>4<sup>3<\/sup> <\/p>\n\n\n\n<p>They both equal the same thing which is 64, but the exponent way is shorter and easier to write. This comes in real handy when you want to multiply something a lot of times. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"terminology\">Terminology <\/h2>\n\n\n\n<p>In the example above, 4<sup>3<\/sup>, 4 is called the &#8220;base&#8221; and &#8220;3&#8221; is called the &#8220;exponent&#8221;. It is often described as &#8220;4 to the power of 3&#8221;. So the exponent is also sometimes called &#8220;the power of&#8221; number. <\/p>\n\n\n\n<p>Before we move on, let&#8217;s do one more simple exponent example:<\/p>\n\n\n\n<p> 2<sup>4<\/sup> = 16 <\/p>\n\n\n\n<p>We got this by multiplying 2 x 2 x 2 x 2. <\/p>\n\n\n\n<p>2&#215;2=4<\/p>\n\n\n\n<p> 4&#215;2=8 <\/p>\n\n\n\n<p>8&#215;2=16 <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"special-exponents\">Special Exponents <\/h2>\n\n\n\n<p>There are some special exponents that we can study next:<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"squared\"> Squared<\/h2>\n\n\n\n<p> When something has an exponent of 2, we call it squared. The name comes from finding the area of a square. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"cubed\">Cubed <\/h2>\n\n\n\n<p>When something has an exponent of 3, we called it cubed. This name comes from finding the area of a cube. <\/p>\n\n\n\n<p><strong>Tricky stuff <\/strong><\/p>\n\n\n\n<p>The first tricky thing to watch out for is an exponent of 0. ANY time there is an exponent of 0, the answer is 1.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"for-example\"> For example: <\/h4>\n\n\n\n<p>4<sup>0<\/sup> = 1<\/p>\n\n\n\n<p> Even a long crazy looking equation like <\/p>\n\n\n\n<p>(4y-7+x+2z)<sup>0<\/sup> <\/p>\n\n\n\n<p>still equals 1.<\/p>\n\n\n\n<p> <strong>Harder stuff <\/strong><\/p>\n\n\n\n<p>Let&#8217;s say we have: <\/p>\n\n\n\n<p>4<sup>3<\/sup> x 4<sup>2<\/sup><\/p>\n\n\n\n<p> It turns out this is the same as 4<sup>3+2<\/sup> or 4<sup>5<\/sup> <\/p>\n\n\n\n<p>In the case where the bases are the same we can add the exponents during multiplication. <\/p>\n\n\n\n<p><strong>What about: <\/strong><\/p>\n\n\n\n<p>(4<sup>3<\/sup>) <sup>2<\/sup> This is the same as 4<sup>2&#215;3<\/sup> or 4<sup>6<\/sup>. When we have an exponent on top of an exponent, then we multiply the exponents.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Skills needed: Multiplication Using exponents is just a short way of saying that you want to multiply something by itself a number of times. Let&#8217;s say for example that you want to do the following: 4 x 4 x 4 This could be written with exponents and would look like this: 43 They both equal [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[767],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/982"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=982"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/982\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=982"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=982"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=982"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}