The given expression is $125^{\frac{1}{3}}$.

This represents the cube root of 125. To simplify this:

$125^{\frac{1}{3}} = \sqrt[3]{125}$

We know that:

$125 = 5 \times 5 \times 5 = 5^3$

Thus, the cube root of 125 is:

$\sqrt[3]{125} = 5$

So, $125^{\frac{1}{3}} = 5$.

If you'd like more details or have further questions, let me know!

Here are some related questions to expand your understanding:

1. What is the cube root of 64?
2. How do you simplify $27^{\frac{2}{3}}$?
3. What is the general method to evaluate $x^{\frac{1}{n}}$?
4. Can you find $343^{\frac{1}{3}}$?
5. How does $a^{\frac{m}{n}}$ work for non-integer values of $m$ and $n$?

Tip: When simplifying exponents with fractions, remember that the denominator represents the root, and the numerator represents the power.