Answer
5
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, $625^{\frac{1}{4}}=\sqrt[4] 625^{1}=\sqrt[4] 625=5$.
We know that $\sqrt[4] 625=5$, because $5^{4}=625$.
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