Chapter 11.1, Problem 50E

To determine

To express using rational exponents.

Answer to Problem 50E

  $x^{\frac{1}{2}}{y}^{\frac{3}{2}}$

Explanation of Solution

Given:

The given expression is $\sqrt{x{y}^3}$

Calculation:

Expressing the expression using rational exponents as follows-

  $\begin{array}{l}\sqrt{x{y}^3}\\ =x^{\frac{1}{2}}{y}^{3\times \frac{1}{2}}\\ =x^{\frac{1}{2}}{y}^{\frac{3}{2}}\end{array}$