#### Answer

8

#### 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, $512^{\frac{1}{3}}=\sqrt[3] 512^{1}=\sqrt[3] 512=8$.
We know that $\sqrt[3] 512=8$, because $8^{3}=512$.

Published by
Pearson

ISBN 10:
0321969359

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

8

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