SOLUTION: -25 to the -3/2 power I got -1/1953 is this correct?

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Question 41972: -25 to the -3/2 power

I got -1/1953 is this correct?
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Note: -25+=+25i%5E2 where i = imaginery square root of unity i.e. i=sqrt%28-1%29.


%28-25%29%5E%28-3%2F2%29
= %28%285i%29%5E2%29%5E%28-3%2F2%29
= %281%2F%285i%29%5E2%29%5E%283%2F2%29
= 1%2F%28sqrt%28%285i%29%5E2%29%29%5E3
= 1%2F%285i%29%5E3
= 1%2F%28125%2Ai%5E3%29
= -1%2F%28125i%29
= i%5E2%2F%28125i%29
= i%2F125