Chapter A.1, Problem 48E

Solution

Convert to radical form.

  $\sqrt[3]{x^{2}y}$ .

Given:

The given expression is $x^{2/3}{y}^{1/3}$ .

Concept Used:

• Radical - The v symbol that is used to denote square root or nth roots.

Calculation:

The given expression is $x^{2/3}{y}^{1/3}$ .

  $\begin{array}{c}{x}^{2/3}{y}^{1/3}=\sqrt[3]{x^2}\sqrt[3]{y^1}\\ =\sqrt[3]{x^{2}y}\end{array}$

Thus the exponential form of $x^{2/3}{y}^{1/3}$ is $\sqrt[3]{x^{2}y}$ .