Evaluate (2x)^-3

${(2 x)}^{- 3}$

Step 1

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

$\frac{1}{{(2 x)}^{3}}$

Step 2

Simplify the denominator.

Apply the product rule to $2 x$ .

$\frac{1}{2^{3} x^{3}}$

Raise $2$ to the power of $3$ .

$\frac{1}{8 x^{3}}$