#### Answer

$-\frac{1}{64}$

#### Work Step by Step

$(-\frac{1}{4})^3\longrightarrow$ rewrite the power as a series of 3 products
=$(-\frac{1}{4})(-\frac{1}{4})(-\frac{1}{4})\longrightarrow$ multiply left to right
=$(\frac{1}{16})(-\frac{1}{4})\longrightarrow$ multiply
=$-\frac{1}{64}$
The final result is negative because there are an odd number of negative factors.