Question 995381

I am trying to figure this problem out and I need some help with it. I am working with cube roots and I am stuck on this problem:

∛(54x^10 y^2 z^15 )
I know that 54 can be cubed so I get 3^3*2. But I can't figure out how to finish this problem. Can you help me?
<pre>{{{root (3, 54x^10y^2z^15)}}}
{{{root (3, 27 * 2 * x^9 * x * y^2 * z^15)}}}
{{{root (3, 3^3 * 2 * (x^3)^3 * x * y^2 * (z^5)^3)}}}
{{{highlight_green(3x^3z^5 * root (3, 2xy^2)))}}}