SOLUTION: rewrite 9p^7/2 using a radical and simplify when apropiate

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Question 335075: rewrite 9p^7/2 using a radical and simplify when apropiate
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
In general, x%5E%28a%2Fb%29+=+root%28b%2C+x%5Ea%29+=+%28root%28b%2C+x%29%29%5Ea
So 9p%5E%287%2F2%29+=+9root%282%2C+p%5E7%29
This is a square root and we simplify it by factoring out perfect squares if any:
9root%282%2C+p%5E7%29
9root%282%2C+p%5E2%2Ap%5E2%2Ap%5E2%2Ap%29
9root%282%2C+p%5E2%29%2Aroot%282%2C+p%5E2%29%2Aroot%282%2C+p%5E2%29%2Aroot%282%2C+p%29
9%2Ap%2Ap%2Ap%2Aroot%282%2C+p%29
9p%5E3%2Aroot%282%2C+p%29