Alright, I've got a final in College Algebra tomorrow but can't figure out how my teacher got this answer. Here was the original problem (as best I can type it):

1 over the 5th root of 9

I am told to rationalize the denominator. I got to this:

5th root of 9 to the 4th power over 9

This works as the answer, but it can simplify even further apparently. I can't figure out how it simplified further into:

5th root of 27 over 3

Help?