((x^2y)^(1/3))((xy^2)^(2/3))
((x^2/3y^1/3)(x^2/3y^4/3)
x^4/3y^5/3
and then to express those wierd exponents, you make the numerator the exponent and and then take root of the bottom number.
so it would be cube root of x to the fourth, cube root of y to the fifth.
so actually the cube root of x to the fourth y to the fifth. all under one radical