SOLUTION: Simplify the following and give the answer in the form a+bi.
(1 - i)^8 (use Euler form).
Thanks in advance.
Algebra.Com
Question 221232: Simplify the following and give the answer in the form a+bi.
(1 - i)^8 (use Euler form).
Thanks in advance.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(1 - i)^8
r = sqrt(2)
theta = -45º
z = rcis(theta) = sqrt(2)cis(-45)
z^8 = (sqrt(2))^8cis(-45*8)
z^8 = 16cis(-360)
z^8 = 16(cos(360) + isin(360)) (+360 = -360)
z^8 = 16
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