Answer
5
Work Step by Step
Based on the definition of $a^{\frac{m}{n}}$, we know that $a^{\frac{m}{n}}=(\sqrt[n] a)^{m}=\sqrt[n] a^{m}$ (where $\sqrt[n] a$ is a real number).
Therefore, $125^{\frac{1}{3}}=\sqrt[3] 125^{1}=\sqrt[3] 125=5$
We know that $\sqrt[3] 125=5$, because $5^{3}=125$.
