#### 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:
$(x^{5/4})^{4/5} = (2^5)^{4/5}
\\x=2^{5 (\frac{4}{5})}
\\x=2^{4}
\\x=16$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$x=16$

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