Final answer:
To express 6^2/3 in radical form, we need to convert the exponent 2/3 to a radical. The cube root of 6 squared is represented as ∛(6^2).
Step-by-step explanation:
To express 6^2/3 in radical form, we need to first convert the exponent 2/3 to a radical. The exponent 2/3 represents the cube root of the base. So, 6^2/3 is equal to the cube root of 6 squared.
The cube root of a number raised to a power is the same as raising the number inside the radical to that power. Therefore, the cube root of 6 squared is the same as 6 raised to the power of 2/3.
So, 6^2/3 in radical form is represented as the cube root of 6 squared, or ∛(6^2).