Answer
$-1/64$
Work Step by Step
When a fraction is raised to a power, we distribute that power to both the numerator (the top of the fraction) and the denominator (the bottom of the fraction). Thus, we obtain:
$(-1/4)^{3}$= ($-1^{3})$/($4^{3}$)
$1^{3}$ means one multiplied itself three times and $4^{3}$ means four multiplied by itself three times, so we find:
$(-1^{3})/(4^{3})=-1/64$