Need help!

I will answer this again, taking into account that you said radical form.

As a note, you may have copied your question incorrectly as I know a question similar to this one but instead, one of them is x^2 and y^3 or x^3 and y^2. So, if you did miswrite it, please rewrite it and I will solve it correctly. :)

Inversely proportional means that the product stays constant. If x^3y^3 stays constant, then taking the cube root maens xy stays constant, so xy = 2*15 = 30, so when x = 1, y = 30. No radicals needed. :)

Hi,

yes I am sorry I did make a mistake when copying the problem  it should be "The numbers x^3 and y^2".

We have that

y^2  = k /x^3       and we know that

15^2 = k / 2^3

k =  15^2 / 2^3  =   225/8

So....

y^3 = (225/8) / 1^3

y^3 = (225/8)          

y = (225/8)^(1/3)  =  ∛225/ 2