## Algebra 1

Published by Prentice Hall

# Chapter 7 - Exponents and Exponential Functions - 7-6 Exponential Functions - Practice and Problem-Solving Exercises - Page 450: 15

#### Answer

$g(-2)=12.5$

#### Work Step by Step

We plug in the given value for the independent variable. Then, we follow the order of operations. According to the order of operations, we simplify inside parentheses, then we simplify powers, then we multiply and divide, and finally, we add and subtract. When we do this, we find: $g(-2) = 2\cdot 0.4^{-2} = 2 \cdot \frac{1}{0.4^2} = 2 \cdot \frac{1}{0.16} = 12.5$

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