Chapter 4.2, Problem 34IP

To determine

To evaluate : the expression

Answer to Problem 34IP

The solution of the expression is $\frac{1}{-8}$ .

Explanation of Solution

Given information :

Consider, the expression is,

  $p^{-3}$

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

Calculation :

The value of expression is:

  $\begin{array}{l}{p}^{-3}\\ -2^{-3}\left[\text{replace }p\text{ with }-2\right]\\ \frac{1}{-2^3}\left[\text{definition of negative exponent}\right]\\ \frac{1}{-2\cdot -2\cdot -2}\\ \frac{1}{-8}\end{array}$

Hence, the solution of the expression is $\frac{1}{-8}$ .