Question 679687
(3 + sqrt 3i)^4
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{{{z = (3 + sqrt(3)i)}}}
Mag = 2sqrt(3)
Angle = asin(sqrt(3)/(2sqrt(3)) = asin(1/2)
Angle = 30 degs
z = 2sqrt(3)cis(30)
-------
z^4 = 144cis(120)
= 144*-0.5 + 144i*sqrt(3)/2
= -72 + (72*sqrt(3))i