Answer
$\frac{9}{16}$
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: $\frac{y^2}{(-x)^4}$
We plug in the given values for $x$ and $y$: $\frac{(-3)^2}{(-2)^4}$
We simplify the powers on the numerator and the denominator: $\frac{9}{16}$
