Answer
$\frac{-32a^{35}}{b^{20}}$
Work Step by Step
Distribute the exponent to the numerator and denominator and then simplify each term to find a simplified expression.
$(\frac{-2a^7}{b^4})^5$=$\frac{(-2)^5a^{7(5)}}{b^{4(5)}}$=$\frac{-32a^{35}}{b^{20}}$