Question 1404d

Complex Numbers
Real and Purely Imaginary Numbers in Polar Form

Question

The complex number z{z} is given by
z=e34πi.z=\mathrm{e}^{- \frac{3}{4} \pi \mathrm{i}}.
Find the smallest positive integer n{n} such that zn{\displaystyle z^n} is purely imaginary.

Attempt

n={n = }

Answer

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