Answer
$\frac{1}{1000x^6}$
Work Step by Step
Start with given expression: $(10x^{2})^{-3}$
Apply the negative exponent rule: $\frac{1}{(10x^{2})^{3}}$
Remove the parentheses in the denominator: $\frac{1}{10^{3}\times (x^{2})^{3}}$
Simplify denominator using power rule: $\frac{1}{1000x^6}$
