Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Practice - Page 716: 10

$\frac{3a}{\sqrt[3] {63a^{2}b}}$

$\frac{\sqrt[3] {3a}}{\sqrt[3] {7b}}\times\frac{\sqrt[3] {9a^{2}}}{\sqrt[3] {9a^{2}}}$ =$\frac{\sqrt[3] {3a}\times \sqrt[3] {9a^{2}}}{\sqrt[3] {7b}\times\sqrt[3] {9a^{2}}}$ =$\frac{\sqrt[3] {3a\times9a^{2}}}{\sqrt[3] {7b\times9a^{2}}}$ =$\frac{\sqrt[3] {27a^{3}}}{\sqrt[3] {63a^{2}b}}$ =$\frac{3a}{\sqrt[3] {63a^{2}b}}$