Answer
$\dfrac{27}{64}$
Work Step by Step
Recall, the exponent tells us how many times to multiply the base (which is the fraction in this case) by itself. Thus, we obtain:
$\left(\dfrac{3}{4}\right)^3=\left(\dfrac{3}{4}\right)\left(\dfrac{3}{4}\right)\left(\dfrac{3}{4}\right)=\dfrac{27}{64}$