You can
put this solution on YOUR website!So, your question is: cube root(32x^6y^9).
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To solve cube roots you want triple of something in order to pull it out. Let's write out everything:
cuberoot [ 2*2*2*2*2*x*x*x*x*x*x*y*y*y*y*y*y*y*y*y]
look for triples.
cuberoot [ {2*2*2}*2*2*{x*x*x}*{x*x*x}*{y*y*y}*{y*y*y}*{y*y*y}]
notice we have a triple of 2's, 2 triples of x's and 3 triples of y's. We can take those out.
What ever is not a triple stays inside. It looks like this:

*cuberoot(2*2)

*cuberoot(4)