Answer
$x=16$
Work Step by Step
With $32=2^5$, the given equation is equivalent to:
$x^{5/4} = 2^5$
Raise both sides to the power $\frac{4}{5}$ to obtain:
$(x^{5/4})^{4/5} = (2^5)^{4/5}
\\x=2^{5 (\frac{4}{5})}
\\x=2^{4}
\\x=16$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 148: 76
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