Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 46



Work Step by Step

You have ($\frac{2n^2{^-}{^1}}{1}$$)^{-3}$ after using the quotient of powers property. Simplify the expression: (2$n^{2-1}$$)^{-3}$ -Apply rule $\frac{a}{1}$=a- (2n$)^{-3}$ -Apply $n^{2-1}$=n- $\frac{1}{2n^3}$ -apply rule $a^{-b}$=$\frac{1}{a^b }$ $\frac{1}{2^3n^3}$ -apply rule (a $\times$ b$)^{n}$=$a^{n}$$b^{n}$ Simplify the exponents: =$\frac{1}{8n^3}$
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