SOLUTION: (64/81) to the negative 3/4 exponent simplifies to what and factors to what

Question 399865: (64/81) to the negative 3/4 exponent simplifies to what and factors to what
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(64/81) to the negative 3/4 exponent simplifies to what and factors to what
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(64/81)^(-3/4)
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The negative in the exponent means "invert".
The 3 means to "cube"
The 4 means take the "4th root".
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These instruction can be performed in any order.
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If you take the 4th root 1st you get:
(2/3)^(-3)
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If you invert next you get:
(3/2)^(3)
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If you then cube the base youo get:
= 27/8
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Cheers,
Stan H.
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