# Chapter 7 - Exponents and Exponential Functions - Chapter Review - Page 476: 50

$\frac{8}{a^6}$

#### Work Step by Step

You have the expression ($\frac{5a^8}{10a^6}$$)^{-3}.Simplify the expression: (\frac{5a^8}{10a^6}$$)^{-3}$=($\frac{10a^6}{15a^8}$$)^{3} -Use the rule a^{-b}=\frac{1}{a^b}- (2a^{6-8}$$)^{3}$ -divide 10 and 5 to get 2 then subtract exponents with the same base- (2$a^{-2}$$)^{3} -Use the rule a^{-b}=\frac{1}{a^b}- (\frac{2}{a^2}$$)^{3}$ -raise the denominator to the power(3)- =$\frac{8}{a^6}$

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