SOLUTION: write (1+i)8 in standard a+bi form

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Question 949302: write (1+i)8 in standard a+bi form
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2Bi%29%5E8 in standard a%2Bbi form is:
%281%2Bi%29%5E8=%281%2Bi%29%5E2%2A%281%2Bi%29%5E2%2A%281%2Bi%29%5E2%2A%281%2Bi%29%5E2
since %281%2Bi%29%5E2=1%2B2i%2Bi%5E2=1%2B2i-1=2i, then we have
%281%2Bi%29%5E8=%282i%29%2A%282i%29%2A%282i%29%2A%282i%29
since %282i%29%2A%282i%29=4i%5E2=4%28-1%29=-4 we have
%281%2Bi%29%5E8=%28-4%29%2A%28-4%29
%281%2Bi%29%5E8=16