Chapter 7 - Section 7.5 - Rationalizing Denominators and Numerators of Radical Expressions - Exercise Set - Page 445: 62

$\dfrac{2x}{z\sqrt[3]{2x^2z}}$

Rationalizing the numerator of $ \dfrac{\sqrt[3]{4x}}{\sqrt[3]{z^4}} $ results to \begin{array}{l} \dfrac{\sqrt[3]{4x}}{z\sqrt[3]{z}} \cdot \dfrac{\sqrt[3]{2x^2}}{\sqrt[3]{2x^2}} \\\\= \dfrac{\sqrt[3]{8x^3}}{z\sqrt[3]{2x^2z}} \\\\= \dfrac{2x}{z\sqrt[3]{2x^2z}} .\end{array}