What is the simplified form of the following expression?

^3sqrt (4x/5)

= (∛ (100x)) / 5

Step-by-step explanation:

Given the expression; ∛ (4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛ (4x/5) = ∛ ((4x/5) * (25/25))

= ∛ (100x/125)

= ∛ (100x/5³)

= (∛100x) / 5