Answer
$\frac{256}{625}$
Work Step by Step
You have ($\frac{5}{4}$$)^{-4}$.Simplify:
($\frac{5}{4}$$)^{-4}$ -apply exponent rule ($\frac{a}{b}$$)^{-c}$=($\frac{b}{a}$$)^{c}$-
($\frac{4}{5}$$)^{4}$ -distribute the exponent-
$\frac{4^4}{5^4}$ -simplify the exponents-
=$\frac{256}{625}$
