Question 1404d

Complex Numbers
Real and Purely Imaginary Numbers in Polar Form

Question

The complex number z{z} is given by
z=3e16πi.z=3 \mathrm{e}^{- \frac{1}{6} \pi \mathrm{i}}.
Find the smallest positive integer n{n} such that zn{\displaystyle z^n} is real.

Attempt

n={n = }

Answer

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