Chapter 4.2, Problem 11GP

To determine

To evaluate:the expression

Answer to Problem 11GP

The solution of the expression is $\frac{1}{-64}$ .

Explanation of Solution

Given information:

Consider, the expression is,

  $x^{-3}$

And $x=-4,y=2$

Calculation:

The value of expression is:

  $\begin{array}{l}{x}^{-3}\\ {\left(-4\right)}^{-3}\left[\text{replace }x\text{ with }-4\right]\\ \frac{1}{{\left(-4\right)}^3}\left[\text{definition of negative exponent}\right]\\ \frac{1}{-4\cdot -4\cdot -4}\\ \frac{1}{-64}\end{array}$

Hence, the solution of the expression is $\frac{1}{-64}$ .