Answer
$\frac{1}{64}$
Work Step by Step
Start with expression $4^{-3}$
We rewrite this as a fraction (negative exponents are positive exponents in the denominator): $\frac{1}{4^{3}}$
Simplify exponent in denominator: $\frac{1}{4^{3}}=\frac{1}{4\times4\times4}=\frac{1}{64}$