SOLUTION: express ( -1 + root(3)i)^10 in a+bi form

Question 642901: express ( -1 + root(3)i)^10 in a+bi form
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
express ( -1 + root(3)i)^10 in a+bi form
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is in a + bi form, with the exponent.
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If you want to simplify it some:
magnitude (z) =
---> 2cis(atan(-sqrt(3))
z = 2cis(300)
z^10 = 2^10cis(3000)
= 1024cis(120)
= 1024cos(120) + 1024i*sin(120)
=
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