SOLUTION: cubed root xy5 x cubed rootx19y17

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Question 194024:
cubed root xy5 x cubed rootx19y17
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2Cxy%5E5%29%2Aroot%283%2Cx%5E%2819%29y%5E%2817%29%29 Start with the given expression


root%283%2C%28xy%5E5%29%28x%5E%2819%29y%5E%2817%29%29%29 Combine the roots


root%283%2Cx%5E%281%2B19%29y%5E%285%2B17%29%29 Multiply by adding the exponents.


root%283%2Cx%5E%2820%29y%5E%2822%29%29 Add


Convert to exponential notation


Multiply the exponents.


Multiply


Convert the improper fractions to mixed fractions.

Expand


Break up the exponents using the identity x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez


Rearrange the terms.


x%5E6y%5E7%2Aroot%283%2Cx%5E2y%29 Convert back to radical notation


So