Answer
$16^{\frac{3}{4}}=8$
Work Step by Step
RECALL:
$a^{\frac{b}{c}}=\sqrt[c]{a^b}$
Thus,
$16^{\frac{3}{4}}
\\=\sqrt[4]{16^3}
\\=\sqrt[4]{(2^4)^3}
\\=\sqrt[4]{2^{12}}
\\=\sqrt[4]{(2^3)^4}
\\=2^3
\\=8$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Section 9.2 - Inverse Functions - Exercise Set - Page 551: 53
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