Chapter 11.10, Problem 17E

To determine

To find: The simplified form of the given expression.

Answer to Problem 17E

The simplified form is $8$ and it is a real number.

Explanation of Solution

Given:

The given expression is:

  ${\left(64\right)}^{\frac{1}{2}}$

The simplified form of given expression is calculated as:

  $\begin{array}{c}{\left(64\right)}^{\frac{1}{2}}={\left({\left(8\right)}^2\right)}^{\frac{1}{2}}\\ ={\left(8\right)}^{\frac{2}{2}}\left[\because {\left(a^m\right)}^n=a^{mn}\right]\\ =8\end{array}$

Therefore the simplified form is $8$ and it is a real number.