Answer
$\frac{25}{9}$
Work Step by Step
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the given expression as: $\frac{z^2}{y^2}$
We plug in the values for $y$ and $z$: $\frac{(-5)^2}{(-3)^2}$
We simplify powers on the numerator and the denominator: $\frac{25}{9}$