Answer
$x=-\frac{1}{8}$
Work Step by Step
Rewrite the equation as $$\left(\frac{1}{x}\right)^{\frac{1}{3}}=-2$$ Therefore, cubing both sides creates $$\frac{1}{x}=-8$$ Finally, take the reciprocal of both sides to get $x=-\frac{1}{8}$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 90
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