Rewrite the expression as a product of identical factors to simplify 125^ 2/3. Submit your answer in simplified form.

Answer 1

To simplify, we can rewrite 125 as 5^3. Then, we can apply the exponent rule (a^m)^n = a^(m*n) to 5^3 raised to the power of 2/3.

(5^3)^(2/3) = 5^(3*(2/3))
= 5^(6/3)
= 5^2

Therefore, the expression 125^(2/3) can be simplified to 5^2.