Answer
$\frac{1}{16x^6}$
Work Step by Step
Start with given expression: $(4x^{3})^{-2}$
Apply the negative exponent rule: $\frac{1}{(4x^{3})^{2}}$
Remove the parentheses in the denominator: $\frac{1}{4^{2}\times (x^{3})^{2}}$
Simplify denominator using power rule: $\frac{1}{16x^6}$
