#### Answer

$\frac{1}{4}$

#### Work Step by Step

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 $\frac{1}{4}$