{"id":4835,"date":"2013-06-30T05:29:49","date_gmt":"2013-06-30T05:29:49","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4835"},"modified":"2026-03-26T10:04:49","modified_gmt":"2026-03-26T15:04:49","slug":"exponents","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/exponents\/","title":{"rendered":"What is an Exponent?"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_9wOm1YW7Hkw\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_9wOm1YW7Hkw\" data-source-videoID=\"9wOm1YW7Hkw\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"What is an Exponent? Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"What is an Exponent?\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_9wOm1YW7Hkw:hover {cursor:pointer;} img#videoThumbnailImage_9wOm1YW7Hkw {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/07\/updated-what-is-an-exponent-64c1414399aa9.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_9wOm1YW7Hkw\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_9wOm1YW7Hkw\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"What is an Exponent?\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_9wOm1YW7Hkw\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_9wOm1YW7Hkw\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_9wOm1YW7Hkw\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 6BP_Function() {\n  var x = document.getElementById(\"6BP\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"6BP_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"6BP\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Terminology\" class=\"smooth-scroll\">Terminology<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_1\" class=\"smooth-scroll\">Example 1<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_2\" class=\"smooth-scroll\">Example 2<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_3\" class=\"smooth-scroll\">Example 3<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_4\" class=\"smooth-scroll\">Example 4<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_5\" class=\"smooth-scroll\">Example 5<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_6\" class=\"smooth-scroll\">Example 6<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Example_7\" class=\"smooth-scroll\">Example 7<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#What_is_an_Exponent_(PDF)\" class=\"smooth-scroll\">What is an Exponent? (PDF)<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Exponent_Practice_Problems\" class=\"smooth-scroll\">Exponent Practice Problems<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>You may have heard a math teacher or two say that math is a language. If that is true, then algebraic rules and notation should be considered the grammar and punctuation of the language of math!<\/p>\n<p>Some students who struggle with math are confused by how to apply the rules and interpret the notation. In this video, we will focus on the notation and interpretation of exponents. This video will also focus on the meaning of exponents that are natural numbers, also referred to as \u201ccounting numbers\u201d (i.e., 1, 2, 3, etc.). Other types of exponents are interpreted differently and will be covered in other videos. <\/p>\n<h2><span id=\"Terminology\" class=\"m-toc-anchor\"><\/span>Terminology<\/h2>\n<p>\nLet\u2019s start by quickly reviewing some terminology. An exponent is written as a superscript on a number or algebraic expression, which is referred to as the <strong>base<\/strong>. There are a few ways to verbalize a \u201cpower.\u201d \\(5^2\\) can be read as \u201cfive squared,\u201d \u201cfive to the second,\u201d \u201cfive raised to the second power,\u201d or \u201cfive raised to the power of 2.\u201d In any case, the exponent should be interpreted as repeated multiplication.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/01\/exponenets@300x.webp\" alt=\"\" width=\"\" height=\"\" class=\"aligncenter size-full wp-image-215971\"  role=\"img\" \/><\/p>\n<p>Whatever is defined as the base should be multiplied by itself however many times the exponent implies. For example, \\(5^2=5 \\times 5\\). This can then easily be evaluated as 25. <\/p>\n<h2><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example 1<\/h2>\n<p>\nLet\u2019s look at some examples. For \\(7^3\\), the base is 7 and the exponent is 3. This can be read as &#8220;7 to the third&#8221; or &#8220;seven cubed.&#8221; Raising a base of 7 to the power of 3 means to multiply 7 by itself 3 times: \\(7^3=7 \\times 7 \\times 7\\). Seven times itself three times equals 343.<\/p>\n<h2><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example 2<\/h2>\n<p>\nLet\u2019s try another one, but this one will look a little different: \\((-2)^2\\). It is important to point out that parentheses are being used with this example to define the base. Negative 2 is being raised to the second power. The interpretation is the same! Simply multiply negative 2 by itself twice. Multiplying two negative numbers using parentheses results in a positive value: \\((-2)(-2) = 4\\).<\/p>\n<h2><span id=\"Example_3\" class=\"m-toc-anchor\"><\/span>Example 3<\/h2>\n<p>\nBut, if we were to take the parentheses away and instead say \\(-2^2\\), then our answer would be negative 4. Why? Because the 2 is squared before the effects of the negative take place. Since \\(2^2\\) is four, \\(-2^2\\) is -4.<\/p>\n<h2><span id=\"Example_4\" class=\"m-toc-anchor\"><\/span>Example 4<\/h2>\n<p>\nLet\u2019s try another one with negatives: \\((-5)^3\\) \\((-5)^3=(-5)(-5)(-5)= -125\\). Powers of ten are used frequently in math and science applications. <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/scientific-notation\/\">Scientific notation<\/a> uses powers of ten to express very large or small values in an efficient, organized manner, but we\u2019ll dive into that topic in another video.<\/p>\n<h2><span id=\"Example_5\" class=\"m-toc-anchor\"><\/span>Example 5<\/h2>\n<p>\nExponents are also used to raise algebraic expressions to powers, but the meaning is the same: multiply whatever the base is by itself however many times that is indicated by the exponent! Here is an example: \\(x^3=x \\times x \\times x\\). As you can see, the notation \\(x^3\\) is a more efficient way to write the expanded version of \\(x \\times x \\times x\\). <\/p>\n<h2><span id=\"Example_6\" class=\"m-toc-anchor\"><\/span>Example 6<\/h2>\n<p>\nHere&#8217;s another example: \\(2x^3=2 \\times x \\times x \\times x\\). Notice that the base is \\(x\\) here. Adding parentheses in an expression changes the meaning: \\((2x)^3=(2x)(2x)(2x)\\) The parentheses define the base as \u201c2x.\u201d Rearranging the expanded expression shows how the power is simplified: <span style=\"font-size: 90%\">\\((2x)^3=2 \\times 2 \\times 2 \\times x \\times x \\times x=8x^3\\)<\/span><\/p>\n<h2><span id=\"Example_7\" class=\"m-toc-anchor\"><\/span>Example 7<\/h2>\n<p>\nLet\u2019s try one more example before we go: \\((x+2)^2\\). Once again, parentheses are used to define the base to be \\(x+2\\). The exponent of 2 instructs you to multiply this base by itself twice. Here are two binomial expressions: \\((x+2)^2=(x+2)(x+2) \\). Multiplying these two binomial expressions results the <strong>quadratic expression<\/strong> \\((x+2)^2=(x+2)(x+2)\\)\\(=x^2+4x+4\\).<\/p>\n<p>So, as long as you can identify the base, the multiplication of that base by itself becomes pretty straightforward. As mentioned, the interpretation of notation in math is half the battle! Practicing the basics is key in order to gain confidence for more complicated math content. <\/p>\n<p>Thanks for watching, and happy studying!<\/p>\n<div style=\"text-align: center;\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/laws-of-exponents\/\">Laws of Exponents<\/a><\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are exponents in math? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Exponents are used in math to abbreviate an otherwise very long number. For example, if you were making calculations with the value 184,528,125 it would be much more efficient to express this value as \\(45^5\\).<\/p>\n<p>Exponents are also used as a more efficient way to represent repeated multiplication. For example, instead of writing \\(3\\times3\\times3\\times3\\times3\\times3\\), we can simply write \\(3^6\\).<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you figure out exponents?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>When an exponent is used, it represents repeated multiplication. The \u201cbase\u201d represents the number being multiplied by itself, and the \u201cexponent\u201d represents how many times it is multiplied.<\/p>\n<p>Calculating a value such as \\(4^9\\) means 4 will be multiplied by itself 9 times. In other words, <span style=\"font-size: 85%\">\\(4\\times4\\times4\\times4\\times4\\times4\\times4\\times4\\times4\\),<\/span> which equals 262,144. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the 5 rules of exponents? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There are five main rules to remember when working with exponents: <\/p>\n<ol>\n<li>The <strong style=\"font-weight: 600\">product rule<\/strong> states that when you multiply exponents that have the same base, you simply add the exponents.<\/li>\n<li>The <strong style=\"font-weight: 600\">quotient rule<\/strong> states that when you divide exponents that have the same base, you simply subtract the exponents.<\/li>\n<li>The <strong style=\"font-weight: 600\">power rule<\/strong> states that when you raise a power to a power, you can multiply the powers together.<\/li>\n<li>The <strong style=\"font-weight: 600\">zero rule<\/strong> states that any number raised to a power of zero, is always equal to one.<\/li>\n<li>The <strong style=\"font-weight: 600\">one rule<\/strong> of exponents states that any number raised to the power of one is always equal to itself.<\/li>\n<\/ol>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the 4 types of exponents? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The four types of exponents are: positive, negative, zero, and rational. <\/p>\n<ul>\n<li><strong style=\"font-weight: 600\">Positive exponents<\/strong> tell you how many times to multiply a base by itself. This will generally result in a very large number.<\/li>\n<li><strong style=\"font-weight: 600\">Negative exponents<\/strong> tell you how many times to divide a base by itself. This will generally result in a very small number.<\/li>\n<li>An <strong style=\"font-weight: 600\">exponent of zero<\/strong> will always be equal to 1.<\/li>\n<li>A <strong style=\"font-weight: 600\">rational exponent<\/strong> means there is a fraction as the exponent.<\/li>\n<\/ul>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is the difference between a power and an exponent?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The terms \u201cpower\u201d and \u201cexponent\u201d essentially mean the same thing. For example, \u201cfive to the third <em>power<\/em>\u201d represents a base of five and an exponent of three. Often, these two terms are used interchangeably. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">Are indices and exponents the same? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>An index is another name for an exponent. The index of a number tells you how many times to multiply the base by itself. For example, the <em>index<\/em> of 4<sup>2<\/sup> is 2. The <em>exponent<\/em> of 4<sup>2<\/sup> is also 2.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What do positive exponents represent? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A positive exponent tells you how many times to <em>multiply<\/em> the base by itself. For example, if the base is 8 and the exponent is 4, 8 would be multiplied by itself 4 times:<\/p>\n<p style=\"text-align: center\">\\(8^4=8\\times8\\times8\\times8=4{,}096\\)<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is the use of exponents in our daily life? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Exponents are often used in our daily life as a way to write extremely large or extremely small numbers efficiently. Exponents represent repeated multiplication in a compact format.<\/p>\n<p>For example, exponents are used to measure the strength of earthquakes. A level 1 earthquake has a magnitude of \\(1\\times10^1\\), a level 2 earthquake has a magnitude of \\(1\\times10^2\\), and so on.<\/p>\n<p>Exponents allow us to make sense of very small and very large numbers in a way that is concise and easy to read. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How are exponents used in science? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Exponents are often used in science when describing very small or very large numbers. In many cases, scientific notation is used to write these small or large values. Scientific notation requires a base to be multiplied by a power of ten.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How are exponents used in engineering? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Engineers use exponents because they are frequently working with very large or very small measurements. For example, a civil engineer might be working with calculations regarding the weight of a massive bridge. These measurements could be in the tens of thousands, so it is often most efficient to express them using positive exponents. On the other end of the spectrum, chemical engineers often work with values that are extremely small. These values are most efficiently written using negative exponents. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How are negative exponents used in real life? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Negative exponents tell you how many times to <em>divide<\/em> a base by itself. For example, \\(8^{-4}\\) represents \\(1\u00f78\u00f78\u00f78\u00f78\\). Negative exponents are used in many real-world situations involving extremely small numbers.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"What_is_an_Exponent_(PDF)\" class=\"m-toc-anchor\"><\/span>What is an Exponent? (PDF)<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1363\" height=\"1766\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111.png\" class=\"attachment-full size-full\" alt=\"A guide explaining exponents, including their notation and order of operations. It covers how multiplication and exponents function, with examples provided. Features graphics, text, and a QR code.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111.png 1363w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111-232x300.png 232w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111-790x1024.png 790w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111-768x995.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-07_084111-1185x1536.png 1185w\" sizes=\"auto, (max-width: 1363px) 100vw, 1363px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Exponents-Fact-Sheet.pdf\"><span id=\"Your_What_is_an_Exponent_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your What is an Exponent PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Exponent_Practice_Problems\" class=\"m-toc-anchor\"><\/span>Exponent Practice Problems<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is equal to 2<sup>4<\/sup>?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">64<\/div><div class=\"PQ\"  id=\"PQ-1-2\">32<\/div><div class=\"PQ\"  id=\"PQ-1-3\">8<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\">16<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p style=\"text-align: center\">\\(2^4=2\\times2\\times2\\times2=16\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is equal to \\((3x)^3\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\\(3x^3\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">\\(27x^3\\)<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(9x^3\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(81x^3\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p style=\"text-align: center\">\\((3x)^3=(3x)(3x)(3x)=27x^3\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is equal to \\((x+4)^2\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(x^2+8x+8\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(x^2+4x+8\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">\\(x^2+8x+16\\)<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\\(x^2+4x+16\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p style=\"text-align: center\">\\((x+4)^2=(x+4)(x+4)\\)<\/p>\n<p>To multiply polynomials, multiply each part of the first polynomial by each part of the second polynomial.<\/p>\n<p style=\"text-align: center\">\\((x+4)(x+4)\\)\\(\\:=x^2+4x+4x+16\\)\\(\\:=x^2+8x+16\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is equal to \\((-7)^3\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-4-1\">-343<\/div><div class=\"PQ\"  id=\"PQ-4-2\">-49<\/div><div class=\"PQ\"  id=\"PQ-4-3\">343<\/div><div class=\"PQ\"  id=\"PQ-4-4\">49<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p style=\"text-align: center\">\\((-7)^3=(-7)(-7)(-7)=-343\\)<\/p>\n<p>Since there are three negatives, the final answer is negative.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following is equal to \\((x-7)^2\\)?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">\\(x^2-14x+49\\)<\/div><div class=\"PQ\"  id=\"PQ-5-2\">\\(x^2-7x-49\\)<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\\(x^2+14x-49\\)<\/div><div class=\"PQ\"  id=\"PQ-5-4\">\\(x^2+7x+49\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p style=\"text-align: center\">\\((x-7)^2=(x-7)(x-7)\\) <\/p>\n<p>To multiply polynomials, multiply each part of the first polynomial by each part of the second polynomial.<\/p>\n<p style=\"text-align: center\">\\((x-7)(x-7)\\)\\(\\:=x^2-7x-7x+49\\)\\(\\:=x^2-14x+49\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/complex-arithmetic\/\">Return to Complex Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Complex Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":187079,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4835","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-exponents-and-radicals-complex-arithmetic-videos","7":"page_category-math-advertising-group","8":"page_category-pre-algebra-operations-videos","9":"page_category-video-pages-for-study-course-sidebar-ad","10":"page_type-video","11":"content_type-fact-sheet","12":"content_type-practice-questions","13":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4835","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4835"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4835\/revisions"}],"predecessor-version":[{"id":240355,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4835\/revisions\/240355"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/187079"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4835"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}