SOLUTION: please show the work on how to get the third root of 9 divided by the fifth root of 27. I know the answer is fifteenth root of 3, but how do you get that answer?

Question 418967: please show the work on how to get
the third root of 9 divided by the fifth root of 27. I know the answer is fifteenth root of 3, but how do you get that answer?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
how to get
the third root of 9 divided by the fifth root of 27. I know the answer is fifteenth root of 3
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9^(1/3) = 3^(2/3)
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27^(1/5) = 3^(3/5)
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[3^(2/3)]/[3^(3/5)]
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= 3^[2/3 - 3/5]
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= 3^[(10-9)/15]
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= 3^(1/15)
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Cheers,
Stan H.
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