Answer
$4x^3$
Work Step by Step
We want to simplify $\frac{4}{x^{-3}}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$.
Therefore, we can rewrite the expression as $\frac{4}{\frac{1}{x^3}}$
We can simplify this complex fraction by writing it as a division problem: $\frac{4}{1}\div\frac{1}{x^3}$
To divide fractions, we multiply by the reciprocal: $\frac{4}{1}\times\frac{x^3}{1}$
We multiply to get the answer: $4x^3$
