#### Answer

2

#### Work Step by Step

As shown on page 445, we know that $a^{\frac{m}{n}}=\sqrt[n] a^{m}=(\sqrt[n] a)^{m}$.
Therefore, $16^{\frac{1}{4}}=\sqrt[4] 16^{1}=\sqrt[4] 16=2$.
We know that $\sqrt[4] 16=2$, because $2^{4}=16$.

Published by
Pearson

ISBN 10:
0321969359

ISBN 13:
978-0-32196-935-4

2

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