Answer:
D
Step-by-step explanation:
Given:
6^1/3 is equivalent to 3√6
Let
k = 1/3
6^k = 3√6
Cube both sides of the equation
(6^k)^3 = (3√6)^3
(3√6)^3 ( cube root cancel power cube (
6^3k = 6^1
They both have the same base, so it cancels out
3k = 1
Divide both sides by 3
k = 1/3
Therefore, option D shows why 6^1/3 is equivalent to 3√6
