Answer
$27xy^{2}$
Work Step by Step
Raising each term in the expression to the power of 3 and then simplifying, we obtain:
$(3x^{\frac{1}{3}}y^{\frac{2}{3}})^{3}$
$=(3)^{3}\times (x^{\frac{1}{3}})^{3}\times(y^{\frac{2}{3}})^{3}$
$=27\times (x^{\frac{1}{3}\times3})\times(y^{\frac{2}{3}\times3})$
$=27\times (x^{1})\times(y^{2})$
$=27xy^{2}$
