SOLUTION: Find the power and express in rectangular form {{{(sqrt(2) + sqrt(2)i)^5}}}

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Question 882230: Find the power and express in rectangular form
%28sqrt%282%29+%2B+sqrt%282%29i%29%5E5
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282%29+%2B+sqrt%282%29i%29%5E5
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= %28sqrt%282%29%29%5E5%2A%281+%2B+i%29%5E5
= sqrt%2832%29%2A%281+%2B+i%29%5E5
You can multiply it, or.
= sqrt%2832%29cis%2845%2A5%29
= sqrt%2832%29cis%28225%29
= 4sqrt%282%29%28-sqrt%282%29%2F2%29+%2B+i%2A4sqrt%282%29%2A%28-sqrt%282%29%2F2%29
= -4 - 4i