Evaluate (-4x)^-3

${(- 4 x)}^{- 3}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- 4 x)}^{3}}$

Simplify the denominator.

Apply the product rule to $- 4 x$ .

$\frac{1}{{(- 4)}^{3} x^{3}}$

Raise $- 4$ to the power of $3$ .

$\frac{1}{- 64 x^{3}}$

Move the negative in front of the fraction.

$- \frac{1}{64 x^{3}}$