Answer
8/27
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:
$(2/3)^{3}$= ($2^{3})$/($3^{3}$)
$2^{3}$ means two multiplied by itself three times and $3^{3}$ means three multiplied by itself three times, so we find:
($2^{3})$/($3^{3}$)= 8/27