SOLUTION: Simplify the expression: the fourth root (32x^12y^7) you would factor to get the fourth root(2*16x^12y^7) I think you would pull out a 2x^3y^2 Would the final answer be 2x^

Algebra ->  Radicals -> SOLUTION: Simplify the expression: the fourth root (32x^12y^7) you would factor to get the fourth root(2*16x^12y^7) I think you would pull out a 2x^3y^2 Would the final answer be 2x^      Log On


   

Question 887355: Simplify the expression:
the fourth root (32x^12y^7)

you would factor to get the fourth root(2*16x^12y^7)
I think you would pull out a 2x^3y^2
Would the final answer be 2x^3y(the 4th root of 2)
Thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%284%2C32x%5E%2812%29y%5E%287%29%29

root%284%2C16%2A2x%5E%2812%29y%5E%287%29%29

root%284%2C2%5E4%2A2%2Ax%5E%284%2A3%29y%5E%284%2B3%29%29

root%284%2C2%5E4%2A2%2A%28x%5E3%29%5E4%2Ay%5E%284%29%2Ay%5E%283%29%29

root%284%2C%282%5E4%2A%28x%5E3%29%5E4%2Ay%5E%284%29%29%2A2%2Ay%5E%283%29%29

root%284%2C%282%2Ax%5E3%2Ay%29%5E4%2A2%2Ay%5E%283%29%29

root%284%2C%282%2Ax%5E3%2Ay%29%5E4%29%2Aroot%284%2C2%2Ay%5E%283%29%29

2%2Ax%5E3%2Ay%2Aroot%284%2C2%2Ay%5E%283%29%29

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Final Answer: 2%2Ax%5E3%2Ay%2Aroot%284%2C2%2Ay%5E%283%29%29