SOLUTION: How would this one be worked out ? ^3√4x^2y * ^3√16x^3y^5 Thank you

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Question 1040260: How would this one be worked out ?
^3√4x^2y * ^3√16x^3y^5
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
^3√4x^2y * ^3√16x^3y^5
cube root here
3sqrt%284x%5E2y%29 * 3sqrt%2816x%5E3y%5E5%29
we can put this in a single radical
3sqrt%284x%5E2%2A16x%5E3%2Ay%2Ay%5E5%29
combine like terms
3sqrt%2864x%5E5%2Ay%5E6%29
Factor to reveal perfect cubes
3sqrt%2864%2Ax%5E3%2Ax%5E2%2Ay%5E3%2Ay%5E3%29
extract those cubes
4%2Ax%2Ay%2Ay%2A3sqrt%28x%5E2%29 = 4xy%5E2%2A3sqrt%28x%5E2%29