Chapter 12 - Cumulative Review - Page 913: 22

$4x^{2}\sqrt[3]xy^{2}$

$\sqrt[3] (64x^{7}y^{2})=\sqrt[3] (64x^{6}\times xy^{2})=\sqrt[3] (64x^{6})\times \sqrt[3](xy^{2})=4x^{2}\sqrt[3]xy^{2}$ We know that $\sqrt[3] (64x^{6})=4x^{2}$, because $(4x^{2})^{3}=4^{3}x^{2\times3}=64x^{6}$.