Chapter 4.2, Problem 36IP

To determine

To evaluate : the expression

Answer to Problem 36IP

The solution of the expression is $\frac{1}{81}$ .

Explanation of Solution

Given information :

Consider, the expression is,

  $9^p$

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

Calculation :

The value of expression is:

  $\begin{array}{l}{9}^p\\ 9^{-2}\left[\text{replace }p\text{ with }-2\right]\\ \frac{1}{9^2}\left[\text{definition of negative exponent}\right]\\ \frac{1}{9\cdot 9}\\ \frac{1}{81}\end{array}$

Hence, the solution of the expression is $\frac{1}{81}$ .