## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 444: 65

#### Answer

$\frac{1}{a^9}$

#### Work Step by Step

You have ($\frac{a^4a}{a^2}$$)^{-3}.Simplify the expression: a^{4+1-2} -simplify the expression insides the parentheses by adding the exponents on the numerator and then subtracting 2 because you are dividing- (a^3)^-$$^3$ apply exponent rule $x^{-y}$=$\frac{1}{x^y}$- $\frac{1}{(a^3)^3}$ -simplify the exponents- The simplified expression is $\frac{1}{a^9}.$

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