Answer
$$\frac{16}{25}$$
Work Step by Step
Remember that with negative exponents:
$a^{-n} = \frac{1}{a^{n}}$
$(\frac{x}{y})^{-n}=\frac{y^{n}}{x^{n}}$
so...
$(-\frac{5}{4})^{-2}=(-\frac{4}{5})^{2}$
$(-\frac{4}{5})(-\frac{4}{5})=\frac{16}{25}$
$$\frac{16}{25}$$
