Verified answer

3√x = x^(1/3)

Therefore, 3√8y^3 = (8y^3)^(1/3) = (3√8) * (3√y^3) = 2 * (y^3)^1/3).

3√8 = 2

When power of a variable is taken when it already has a power, the powers get multiplied.

Therfore, (y^3)^1/3) = y^(3 * 1/3) = y

Therefore, 3√8y^3 = 2y

if you are taking the cube root of 8y^3 then the answer is 2y