SOLUTION: Evaluate (3/5)^-3/4

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Question 1031616: Evaluate (3/5)^-3/4
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
: Evaluate (3/5)^-3/4
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The negative in the exponent means "invert":
= (5/3)^(3/4)
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The 3 in the exponent means "cube"
= (125/16)^(1/4)
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The 4 in the exponent means "4th root"
= [(125)^1/4] / 2 or [5^3]/4 /2 or (1/2)
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Cheers,
Stan H.
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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate (3/5)^-3/4
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= (5/3)^3/4 ****** Any question about that?
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= (125/27)^(1/4)
= root%284%2C%28125%2F27%29%29
= root%284%2C%283%2A125%2F81%29%29
= root%284%2C375%29%2F3