Answer
$m = -2$
Work Step by Step
$-2.5m^{7} = 320$
$m^{7} = - 128$
$m = -128^{\frac{1}{7}}$
$m = -2$
Check:
$ -2.5(-2)^{7}$
$= -2.5(-128)$
$= 320$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 438: 68
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