Which of the following expressions is equivalent to the radical expression
∛m^2 n^5?
Answer Choices:
m^3/2 n^3/5
m^2/3 n^5/3
m^5 n^8
mn^2
The radical expression ∛m^2 n^5 can be rewritten using exponentiation as (m^2 n^5)^(1/3).
To simplify this expression, we will distribute the exponent to the terms inside the parentheses:
(m^2)^(1/3) * (n^5)^(1/3)
Applying the rule of exponentiation (a^m)^n = a^(mn), we get:
m^(2/3)* n^(5/3)
Therefore, the expression equivalent to the given radical expression is m^(2/3)* n^(5/3).
The correct answer choice is m^2/3 n^5/3.