Algebra: A Combined Approach (4th Edition)

$\frac{1}{4}$
Step 1: $(64)^{-\frac{1}{3}}$ Step 2: $(4^{3})^{-\frac{1}{3}}$ Step 3: Simplifying exponential powers on 4, $3\times-\frac{1}{3}=-1$ Step 4: Now the expression becomes $4^{-1}$ Step 5: This is simplified to $\frac{1}{4}$