Chapter 13.5, Problem 8MRE

To determine

If the value of the expression.

Explanation of Solution

Given information:

The given expression is

  $b^{\frac{1}{a}}$

  $\begin{array}{l}a=-2\\ b=4\end{array}$

Calculations:

Here the given expression is $b^{\frac{1}{a}}$ .

Now putting the value of a and b in the expression we get the value of the expression,

  $\begin{array}{l}{b}^{\frac{1}{a}}\\ \Rightarrow 4^{\frac{1}{-2}}\\ \Rightarrow {\left(\frac{1}{4}\right)}^{\frac{1}{2}}\\ \Rightarrow \sqrt{\frac{1}{4}}\\ \Rightarrow \frac{1}{2}\end{array}$