Chapter A.1, Problem 49E

Solution

Convert to radical form.

  $\frac{1}{\sqrt[3]{x^5}}$ .

Given:

The given expression is $x^{-5/3}$ .

Concept Used:

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

Calculation:

The given expression is $x^{-5/3}$ .

  $\begin{array}{c}{x}^{-5/3}=\frac{1}{x^{5/3}}\\ =\frac{1}{\sqrt[3]{x^5}}\end{array}$

Thus the exponential form of $x^{-5/3}$ is $\frac{1}{\sqrt[3]{x^5}}$ .