{"id":155654,"date":"2022-03-26T00:53:09","date_gmt":"2022-03-25T19:23:09","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/integers-as-exponents-explanation-rules-and-method-of-solving\/"},"modified":"2023-01-02T16:55:52","modified_gmt":"2023-01-02T11:25:52","slug":"integers-as-exponents-explanation-rules-and-method-of-solving","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/","title":{"rendered":"Integers as Exponents &#8211; Explanation, Rules and Method of Solving"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#What_are_Integer_Exponents\" title=\"What are Integer Exponents?\">What are Integer Exponents?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#1_Product_of_Powers_Rule\" title=\"1. Product of Powers Rule\">1. Product of Powers Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#2_Quotient_of_Powers_Rule\" title=\"2. Quotient of Powers Rule\">2. Quotient of Powers Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#3_Power_of_a_Power_Rule\" title=\"3. Power of a Power Rule\">3. Power of a Power Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#4_Power_of_a_Product_Rule\" title=\"4. Power of a Product Rule\">4. Power of a Product Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#5_Power_of_a_Quotient_Rule\" title=\"5. Power of a Quotient Rule\">5. Power of a Quotient Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#6_Zero_Power_Rule\" title=\"6. Zero Power Rule\">6. Zero Power Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#7_Negativity_Content_Rule\" title=\"7. Negativity Content Rule\">7. Negativity Content Rule<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/#How_to_Solve_Integer_Exponents\" title=\"How to Solve Integer Exponents?\">How to Solve Integer Exponents?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_are_Integer_Exponents\"><\/span>What are Integer Exponents?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Integer exponents are a way of expressing a number in terms of its power. For example, the number 5 can be written as 5^1, which means that 5 is the first power (or exponent) of 5. The number 25 can be written as 5^2, which means that 5 is the second power of 5. And the number 125 can be written as 5^3, which means that 5 is the third power of 5.<\/p>\n<p>Integer exponents can be used to simplify expressions. For example, the expression 5^2 + 5^3 can be simplified to 5^5.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155653 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integers-as-exponents-explanation-rules-and-method-of-solving-300x212.jpg\" alt=\"Integers as Exponents\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integers-as-exponents-explanation-rules-and-method-of-solving-300x212.jpg?v=1648236187 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integers-as-exponents-explanation-rules-and-method-of-solving.jpg?v=1648236187 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"1_Product_of_Powers_Rule\"><\/span>1. Product of Powers Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The product of powers rule states that if two or more powers are multiplied together, the result is the product of the individual powers. For example, if x is raised to the power y and z is raised to the power w, the result is xyz.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"2_Quotient_of_Powers_Rule\"><\/span>2. Quotient of Powers Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The quotient of powers rule states that the quotient of two powers is equal to the product of the two numbers that are being divided by each other, raised to the power of the difference of the two numbers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"3_Power_of_a_Power_Rule\"><\/span>3. Power of a Power Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The power of a power rule states that if a number is raised to a power, and that power is raised to a power, then the result is the number raised to the power of the product of the two powers.<\/p>\n<p>For example, the power of a power rule states that if 5 is raised to the power of 3, then the result is 125.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"4_Power_of_a_Product_Rule\"><\/span>4. Power of a Product Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The power of a product rule states that for any two real numbers a and b,<\/p>\n<p>a(b+c) = ab+ac.<\/p>\n<p>This rule can be used to simplify expressions that involve multiplication.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"5_Power_of_a_Quotient_Rule\"><\/span>5. Power of a Quotient Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If a and b are real numbers and q is a rational number, then<\/p>\n<p>(a\/b)q = aq\/bq.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"6_Zero_Power_Rule\"><\/span>6. Zero Power Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The zero power rule states that if a number is raised to the power of zero, the result is one.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"7_Negativity_Content_Rule\"><\/span>7. Negativity Content Rule<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>a. No member shall post negative comments about other members or their work.<\/p>\n<p>b. This rule does not apply to constructive criticism.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Solve_Integer_Exponents\"><\/span>How to Solve Integer Exponents?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few ways to solve integer exponents. One way is to use the laws of exponents. Another way is to use the Order of Operations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are Integer Exponents? Integer exponents are a way of expressing a number in terms of its power. For example, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Integers as Exponents","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about integers as exponents topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/integers-as-exponents\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Integers as Exponents - Explanation, Rules and Method of Solving<\/title>\n<meta name=\"description\" content=\"Learn about integers as exponents topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers-as-exponents\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Integers as Exponents - 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