Chapter A.1, Problem 58E

Solution

Simplify the exponential expression.

  $x{y}^2$ .

Given:

The given expression is ${(x^2{y}^4)}^{1/2}$ .

Concept Used:

• Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor.

Calculation:

The given expression is ${(x^2{y}^4)}^{1/2}$ .

  $\begin{array}{c}$ {(x^2{y}^4)}^{1/2}={(x^2)}^{1/2}{(y^4)}^{1/2}$=x{y}^2\end{array}$

Thus after simplifying the given expression ${(x^2{y}^4)}^{1/2}$ is $x{y}^2$ .