Chapter A.1, Problem 50E

Solution

Convert to radical form.

  $\frac{1}{\sqrt[4]{x^3{y}^3}}$ .

Given:

The given expression is ${(xy)}^{-3/4}$ .

Concept Used:

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

Calculation:

The given expression is ${(xy)}^{-3/4}$ .

  $\begin{array}{c}$ {(xy)}^{-3/4}=\frac{1}{{(xy)}^{3/4}}$=\frac{1}{\sqrt[4]{{(xy)}^3}}\\ =\frac{1}{\sqrt[4]{x^3{y}^3}}\end{array}$

Thus the exponential form of ${(xy)}^{-3/4}$ is $\frac{1}{\sqrt[4]{x^3{y}^3}}$ .