SOLUTION: How do I factor a radicand to the perfect fourth power? I have the problem. 4√486x^12y^14. I know that it becomes 4√81*6*x^12y^14 and the answer is 3x^3y^34√6y^2.

SOLUTION: How do I factor a radicand to the perfect fourth power? I have the problem. 4√486x^12y^14. I know that it becomes 4√816x^12y^14 and the answer is 3x^3y^34√6y^2.

Question 628207: How do I factor a radicand to the perfect fourth power? I have the problem. 4√486x^12y^14. I know that it becomes 4√81*6*x^12y^14 and the answer is 3x^3y^34√6y^2. I am having trouble understanding how 486 became 81 and then 3x. your help would be greatly appreciated.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the problem.
factor in a manner that will will reveal the perfect 4th power values
4th power of 3 is 81 and is also a factor of 486, going into that 6 times
:

extract the 4th root of the perfect 4ths and you have
3*x*x*x*y*y*
which is

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SOLUTION: How do I factor a radicand to the perfect fourth power? I have the problem. 4&#8730;486x^12y^14. I know that it becomes 4&#8730;81*6*x^12y^14 and the answer is 3x^3y^34&#8730;6y^2.

SOLUTION: How do I factor a radicand to the perfect fourth power? I have the problem. 4√486x^12y^14. I know that it becomes 4√816x^12y^14 and the answer is 3x^3y^34√6y^2.