SOLUTION: express x^2/3(y^5z)^1/3 using radicals

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Question 219522: express x^2/3(y^5z)^1/3 using radicals
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
First we need to understand that
x%5E%28a%2Fb%29+=+root%28b%2C+x%5Ea%29+=+%28root%28b%2C+x%29%29%5Ea

So
Now, since root%28n%2C+a%29%2Aroot%28n%2C+b%29+=+root%28n%2C+a%2Ab%29, we can combine these into a single radical:
root%283%2C+x%5E2%29%2Aroot%283%2C+y%5E5z%29+=+root%283%2C+x%5E2y%5E5z%29