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Home › AP EAPCET (Engineering) › Mathematics › Algebra: De Moivre's Theorem › Using polar form, find the eighth power of the c…

Using polar form, find the eighth power of the complex number 1 + i.

A16
B32
C256
D8
Answer & Solution
Correct answer: A. 16
Since 1 + i = √2 (cos 45° + i sin 45°), its 8th power is 16 (cos 360° + i sin 360°) = 16.
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