Chapter 13.2, Problem 4AR

To determine

To simplify $2^{-3}$.

Answer to Problem 4AR

The required solution is $2^{-3}=\frac{1}{8}$ .

Explanation of Solution

Given information: The number is $2^{-3}$ .

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.

  $\begin{array}{l}{2}^{-3}\\ =\frac{1}{2^3}\\ =\frac{1}{8}\end{array}$

Hence, the required solution is $2^{-3}=\frac{1}{8}$ .