To simplify the expression \( 125^{2/3} \), we can start by rewriting \( 125 \) as a power of \( 5 \):
\[ 125 = 5^3 \]
Now, substituting that into the expression gives us:
\[ 125^{2/3} = (5^3)^{2/3} \]
Using the power of a power property \( (a^m)^n = a^{m \cdot n} \), we can simplify this further:
\[ (5^3)^{2/3} = 5^{3 \cdot (2/3)} = 5^2 \]
Now we calculate \( 5^2 \):
\[ 5^2 = 25 \]
Thus, the simplified form of \( 125^{2/3} \) is:
\[ \boxed{25} \]
To express \( 25 \) as a product of identical factors, we can write:
\[ 25 = 5 \times 5 \]
So as a product of identical factors, the answer is:
\[ \boxed{5 \times 5} \]