SOLUTION: Write (-625)^2/3 in its simplest surd form. How do you do a power of a fraction with 2 as the numerator?? How do you do this question.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Write (-625)^2/3 in its simplest surd form. How do you do a power of a fraction with 2 as the numerator?? How do you do this question.      Log On


   

Question 1028378: Write (-625)^2/3 in its simplest surd form.
How do you do a power of a fraction with 2 as the numerator?? How do you do this question.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You mean %28-625%29%5E%282%2F3%29.

%28-5%5E4%29%5E%282%2F3%29

%28%28-5%5E4%29%5E2%29%5E%281%2F3%29 OR %28%28-5%5E4%29%5E%281%2F3%29%29%5E2.

Working with the second form here,
%28-5%5E%284%2F3%29%29%5E2
%28-5%5E%284%2F3%29%29%28-5%5E%284%2F3%29%29
the POSITIVE 5%5E%284%2F3%2B4%2F3%29
5%5E%282%2A4%2F3%29
5%5E%288%2F3%29-------which might be considered the simplest form.

You may also do this:
%285%5E8%29%5E%281%2F3%29
root%283%2C%285%5E8%29%29
root%283%2C%285%5E3%2A5%5E3%2A25%29%29
5%2A5%2Aroot%283%2C25%29
25%2Aroot%283%2C25%29--------this may instead be simplest.


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