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: 47



Work Step by Step

You have ($\frac{b^4{^/}{^5}}{b^7}$$)^{-5}$.Simplify the expression: ($\frac{1}{b{^3}{^1}{^/}{^5}}$$)^{-5}$ -subtract the exponents on B- ($\frac{b{^3}{^1}{^/}{^5}}{1}$$)^{5}$ -apply exponent rule ($\frac{a}{b}$$)^{-c}$=($\frac{b}{a}$$)^{c}$- $b^{{\frac{31}{5}} {\times} 5}$ -apply exponent rule ($a^{b}$$)^{c}$=$a^{bc}$ $\frac{31}{5}$ $\times$ 5=31 =$b^{31}$
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