Chapter 4.2, Problem 40IP

To determine

To evaluate : the expression

Answer to Problem 40IP

The solution of the expression is $\frac{36}{49}$ .

Explanation of Solution

Given information :

Consider, the expression is,

  $7^p{q}^2$

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

Calculation :

The value of expression is:

  $\begin{array}{l}{7}^p{q}^2\\ 7^{-2}\cdot 6^2\left[\text{replace }p\text{ with }-2\text{ and }q\text{ with }6\right]\\ \frac{1}{7^2}\cdot 6^2\left[\text{definition of negative exponent}\right]\\ \frac{1}{7\cdot 7}\cdot 6\cdot 6\\ \frac{1}{49}\cdot 36\\ \frac{36}{49}\end{array}$

Hence, the solution of the expression is $\frac{36}{49}$ .