SOLUTION: My book says that the solution to 10th root of 32 divided by 8th root of 4 results in the solution 4th root of 2 as a simplified answer. I don't know how this was arrived at. Any

Question 313255: My book says that the solution to 10th root of 32 divided by 8th root of 4 results in the solution 4th root of 2 as a simplified answer. I don't know how this was arrived at. Any layout of the arrival to this answer would be much appreciated.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
My book says that the solution to 10th root of 32 divided by 8th root of 4 results in the solution 4th root of 2 as a simplified answer. I don't know how this was arrived at.
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[(32)^(1/10)] / [(4)^(1/8)]
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= [(2^5)^(1/10)] / [(2^2)^(1/8)]
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= [(2)^(1/2)] / [(2)^(1/4)]
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= 2^(1/4)
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Cheers,
Stan H.
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