SOLUTION: Simplify 243^-3/5

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Question 1000025: Simplify 243^-3/5
Found 3 solutions by stanbon, mananth, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
243^-3/5
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Exponent explained::
3 in numerator means "cube"
5 in the denominator means "take the 5th root"
- sign means "invert"
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These instructions may be performed in any order.
It's best to take the root first since that gives you a smaller number.
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Taking the root you get::
3^-3
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Inverting give you::
(1/3)^3
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Cubing gives you the final answer::
= 1/27
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Cheers,
Stan H.
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Answer by mananth(16946) About Me  (Show Source):
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
243%5E%28-3%2F5%29

=1%2F243%5E%283%2F5%29

=1%2Froot%285%2C243%5E3%29

=1%2Froot%285%2C%2827%2A9%29%5E3%29... 243%5E3=27%5E5

=1%2F27