Chapter 4.2, Problem 32IP

To determine

To evaluate : the expression

Answer to Problem 32IP

The solution of the expression is $\frac{1}{243}$ .

Explanation of Solution

Given information :

Consider, the expression is,

  $n^{-5}$

And $n=3,p=-2\text{ and }q=6$

Calculation :

The value of expression is:

  $\begin{array}{l}{n}^{-5}\\ {\left(3\right)}^{-5}\left[\text{replace }n\text{ with 3}\right]\\ \frac{1}{{\left(3\right)}^5}\left[\text{definition of negative exponent}\right]\\ \frac{1}{3\cdot 3\cdot 3\cdot 3\cdot 3}\\ \frac{1}{243}\end{array}$

Hence, the solution of the expression is $\frac{1}{243}$ .