Evaluate (-3x)^-3

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

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

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

Simplify the denominator.

Apply the product rule to $- 3 x$ .

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

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

$\frac{1}{- 27 x^{3}}$

Move the negative in front of the fraction.

$- \frac{1}{27 x^{3}}$