## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 437: 18

#### Answer

$r=-3$

#### Work Step by Step

Solution: $2^{r}=\frac{1}{8}$ $2^{r}=\frac{1}{2^{3}}$ $2^{r}=2^{-3}$ $r=-3$ Check: $2^{-3}=\frac{1}{8}$? $\frac{1}{8}=\frac{1}{8}$.

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