Chapter 13.2, Problem 5AR

To determine

To simplify ${\left(-4\right)}^{-3}$.

Answer to Problem 5AR

The required solution is ${\left(-4\right)}^{-3}=\frac{1}{-64}$ .

Explanation of Solution

Given information: The number is ${\left(-4\right)}^{-3}$ .

Calculation: The required solution is obtained as,

When there is a negative exponent, just put the whole thing under 1 and get rid of the negative.

  $\begin{array}{l}{\left(-4\right)}^{-3}\\ =\frac{1}{{\left(-4\right)}^3}\\ =\frac{1}{-64}\end{array}$

Hence, the required solution is ${\left(-4\right)}^{-3}=\frac{1}{-64}$ .