SOLUTION: the fith root of 27 to the third power

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Question 256746: the fith root of 27 to the third power
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
the fifth root of 27 to the third power


Do you mean this:

%28root%285%2C27%29%29%5E3

or this

root%285%2C%2827%5E3%29%29

Whichever way you meant they work out to have
the same value.

They also have the same value as 

drawing%2850%2C50%2C0%2C3%2C-.5%2C1.5%2Clocate%280%2C1%2C27%5E%283%2F5%29%29%29

What did you want to do with it? You didn't say.
If the instructions are to write it with a fractional
exponent the preceding is the answer.  If they said
to approximate it with a decimal then the answer is
7.224674056

If they told you to write it in simplest radical form
with smallest possible base, then

%28root%285%2C%2827%29%29%29%5E3

drawing%2850%2C50%2C0%2C3%2C-.5%2C1.5%2Clocate%280%2C1%2C27%5E%283%2F5%29%29+%29

%283%5E3%29%5E%283%2F5%29

drawing%2850%2C50%2C0%2C3%2C-.5%2C1.5%2Clocate%280%2C1%2C3%5E%289%2F5%29+%29+%29

root%285%2C%283%5E9%29%29

root%285%2C%283%5E%285%2B4%29%29%29%0D%0A%0D%0A%7B%7B%7Broot%285%2C3%5E5%2A3%5E4

root%285%2C%283%5E5%29%29root%285%2C%283%5E4%29%29

3%2Aroot%285%2C%283%5E4%29%29

Always state what the instructions are for the problem because
often there are many different things you could be asked to
do with the same expression or equation.

Edwin