Answer
$\frac{8}{a^6}$
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}$$)^{3}$ -Use the rule $a^{-b}$=$\frac{1}{a^b}$-
(2$a^{6-8}$$)^{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)-
=$\frac{8}{a^6}$
