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![\"Exponents](\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47678149762_c48c839f57_o.png\")
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![\"Exponents](\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/32787906107_a735ee286b_o.png\")
<\/p>\n<\/p>\n
The numbers with negative exponents also obey the following laws:
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\n<\/p>\n
A number is said to be in the standard form, if it is expressed as the product of a number between 1 and 10 and the integral power of 10. Very small numbers can be expressed in standard form using negative exponents. If a is any non-zero integer and n is a positive integer, then a \u00d7 a \u00d7 a \u00d7 \u2026. \u00d7 a (n times) is written as an<\/sup>, We can write large numbers more conveniently using exponents. Powers With Negative Exponents<\/strong> Laws of Exponents<\/strong> Remember<\/p>\n Use of Exponents to Express Small Numbers in Standard Form<\/strong> A number written in standard form is said to be expressed in scientific notation.<\/p>\n Very small numbers can be expressed in standard form using negative exponents.<\/p>\n To express a large number, we move the decimal point to the left such that only one digit is left to the left side of the decimal point and multiply the resulting number by 10n where n is the number of places to which the decimal point has been moved to the left. To express a number (<1), we move the decimal point to the right such that only one digit is left to the left side of the decimal point and multiply the resulting number by 10-n<\/sup> where n is the number of places to which the decimal point has been shifted to the right. We hope the given CBSE Class 8 Maths Notes Chapter 12 Exponents and Powers Pdf free download will help you. If you have any query regarding NCERT Class 8 Maths Notes Chapter 12 Exponents and Powers, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":" CBSE Class 8 Maths Notes Chapter 12 Exponents and Powers The numbers with negative exponents also obey the following […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get Exponents and Powers Class 8 Notes Maths Chapter 12 on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class-8\/maths\/exponents-and-powers-class-8-notes-maths-chapter-12\/"},"categories":[92,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\n
\ne.g., 149,600,000,000 = 1.496 \u00d7 1011<\/sup><\/p>\n
\ne.g., 0.0016 = \\(\\frac { 16 }{ 10000 }\\) = 1.6 \u00d7 10-3<\/sup><\/p>\n
\ni.e., an<\/sup> is the continued product of a multiplied by itself n times.
\nHere, \u2018a\u2019 is called the base and \u2018n\u2019 is called the \u2018exponent\u2019 or \u2018index\u2019. The number an is read as \u2018a raised to the power of n\u2019 or simply as \u2018nth power of a\u2019. The notation an is called the exponential notation or power notation.<\/p>\n
\nFor example:
\n10000 = 104<\/sup>; 243 = 35<\/sup>; 128 = 27<\/sup>, etc.
\nNow, we shall learn about negative exponents.<\/p>\n
\nIf a is any non-zero integer and m is a positive integer, then
\n\\({ a }^{ -m }=\\frac { 1 }{ { a }^{ m } }\\)
\nNote: a-m<\/sup> is called the multiplicative inverse of am as a-m<\/sup> \u00d7 am<\/sup> = 1.
\nIt is obvious that am and a-m are multiplicative inverses of each other.<\/p>\n
\nIf a, b are non-zero integers and m, n are any integers, then
\n![\"Exponents](\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47731353761_f95bf0f4ab_o.png\")
<\/p>\n\n
\nA number is said to be in standard form if it can be expressed in the form K x 10n<\/sup> where 1 \u2264 K < 10 and n is an integer.<\/p>\n
\nFor example: 270,000,000,000 = 2.7 \u00d7 1011<\/sup> (Decimal point has been moved to left for 11 places)<\/p>\n
\nFor example 0.0000009 = 9 \u00d7 10-7<\/sup> (a Decimal point has been shifted to the right for 7 places.)<\/p>\n