SOLUTION: Can you help me solve: (2-2i)5th power

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Question 326119: Can you help me solve:
(2-2i)5th power
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to r, theta format,
2-2i=2%28cos%28315%29%2Bisin%28315%29%29
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z%5En=r%5En%2A%28cos%28n%2Atheta%29%2Bi%2Asin%28n%2Atheta%29%29
%282-2i%29%5E5=+%28sqrt%288%29%29%5E5%2A%28cos%281575%29%2Bi%2Asin%281575%29%29
%282-2i%29%5E5=%28sqrt%288%29%29%5E5%2A%28cos%28135%29%2Bi%2Asin%28135%29%29
%282-2i%29%5E5=%28sqrt%288%29%29%5E5%2A%28-%28sqrt%282%29%2F2%29%2B%28sqrt%282%29%2F2%29i%29
%282-2i%29%5E5=-128%2B128i