Simplify (10x)^-3

${(10 x)}^{- 3}$

Step 1

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

$\frac{1}{{(10 x)}^{3}}$

Step 2

Simplify the denominator.

Apply the product rule to $10 x$ .

$\frac{1}{10^{3} x^{3}}$

Raise $10$ to the power of $3$ .

$\frac{1}{1000 x^{3}}$