Answer
$\frac{q^4}{p^2}$
Work Step by Step
We write the expression given as a division problem: $1\div p^2q^{-4}r^0$
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 expression:
$\frac{1}{1}\div\frac{p^2r^0}{q^4}$
To divide fractions, we multiply by the reciprocal: $\frac{1}{1}\div\frac{q^4}{p^2r^0}$
We multiply the numerators and the denominators: $\frac{q^4}{p^2r^0}$
The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$. We use this to rewrite the expression as: $\frac{q^4}{p^2\times1}=\frac{q^4}{p^2}$
