simplify.

To simplify \( 125^{1/3} \), we need to find the cube root of 125.

Since \( 125 = 5^3 \), we can rewrite the expression:

\[
125^{1/3} = (5^3)^{1/3}
\]

Using the power of a power property (which states \( (a^m)^n = a^{m \cdot n} \)):

\[
(5^3)^{1/3} = 5^{3 \cdot \frac{1}{3}} = 5^1 = 5
\]

Therefore, \( 125^{1/3} = 5 \).