SOLUTION: Please help me simplify this: 6th root of 256. I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2 sorry, I don't know how to put th

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Question 1012129: Please help me simplify this:
6th root of 256.
I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2
sorry, I don't know how to put the math symbols in this application. Thank you in advance for the help.

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
256^(1/6)
=16^2^(1/6)=16^(1/3)
={4^2}^1/3
=4^(2/3)
={2^2}^(2/3)
=2^(4/3)
=2^(3/3)*2^(1/3)
=2*2(1/3), which is what you want.

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Please help me simplify this:
6th root of 256.
I get 2 times the 6th root of 4; however, the book answer is 2 times the third root of 2
sorry, I don't know how to put the math symbols in this application. Thank you in advance for the help.
 ------>  ----->  ------>  ------>  <-------> This is what you got, which is correct. The thing though, is that:
is the same as: , and is the same as: . Therefore, is:
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