SOLUTION: I need help, I can't figure this one out. Multiply and simplify. Assume that all expressions under the radical represent non negative numbers. √(xy^2) ∛(x^3y)

Question 453901: I need help, I can't figure this one out.
Multiply and simplify. Assume that all expressions under the radical represent non negative numbers.
√(xy^2) ∛(x^3y)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Multiply and simplify. Assume that all expressions under the radical represent non negative numbers.
√(xy^2) ∛(x^3y)
..
√(xy^2) ∛(x^3y)
Before we multiply this out, both radicals must have the same index. One has an index of 2 and the other with an index of 3. The lowest common multiple of 2 and 3 is 6, so we can change the index of both radicals to 6. For the first term, we can multiply the index of 2 by 3 to get 6. If we multiply the index by 3, we must also multiply the power of the radican by 3. We will do the same for the second term except the multiplier is 2 instead of 3 as in the first term.
..
√(xy^2) ∛(x^3y)
6th root(x^3y^6)*6th root(x^6y^2)
now we can multiply the radicans
6th root(x^9y^8)
xy6th root(x^3y^2) (ans)
RELATED QUESTIONS
Could you recheck theses over. I am doing a test and unsure. 1. Multiply... (answered by jim_thompson5910)

Simplify by taking roots of the numerator and the denominator. Assume that all... (answered by Fombitz)

Multiply and simplify by factoring. Assume that all expressions under radical represent... (answered by jrfrunner)

Can someone please help me solve this problem? ^4√405x^12y^14 Simplify by... (answered by Alan3354)

Multiply and simplify. Assume that all expressions under the radicals represent... (answered by Fombitz)

multiply. assume that all expressions under the radical represent nonnegative numbers.... (answered by Fombitz)

Multiply and simplify by factoring. Assume that all expressions under radicals represent... (answered by checkley77)

Please I need help with the math problem: simplify by factoring, assume that all... (answered by ankor@dixie-net.com)

Multiply and simplify by factoring. Assume that all expressions under radicals represent... (answered by ewatrrr)

SOLUTION: I need help, I can't figure this one out. Multiply and simplify. Assume that all expressions under the radical represent non negative numbers. &#8730;(xy^2) &#8731;(x^3y)

SOLUTION: I need help, I can't figure this one out. Multiply and simplify. Assume that all expressions under the radical represent non negative numbers. √(xy^2) ∛(x^3y)