How do you convert a radical expression to a rational exponent and vice versa?

Take  the expression  x^2/3  which has an exponent  of 2/3.  The top of the fraction refers to the power  - that is  x^2 ( x squared). and the 3 indicates  a cubic root.

So in radical form  it is  ∛(x^2)

Converting radical to exponent  an example would be

∛(x^5)   =  x^(5/3)