Simplify (-2x)^-6

${(- 2 x)}^{- 6}$

Step 1

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

$\frac{1}{{(- 2 x)}^{6}}$

Step 2

Simplify the denominator.

Apply the product rule to $- 2 x$ .

$\frac{1}{{(- 2)}^{6} x^{6}}$

Raise $- 2$ to the power of $6$ .

$\frac{1}{64 x^{6}}$