SOLUTION: If z = -1 - i, find z^10 in polar form.

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Question 1180518: If z = -1 - i, find z^10 in polar form.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If z+=+-1+-+i,
then
z%5E10+=%28-1+-+i%29%5E10
%28-1+-+i%29%5E10=32%28cos%28pi%2F2%29%2Bi%2Asin%28pi%2F2%29%29
%28-1+-+i%29%5E10=32%280%2Bi%2A1%29
%28-1+-+i%29%5E10=32i=>the polar form

r+=+32 (radius), theta+=+pi%2F2+(angle)