Question 1404d

Complex Numbers
Real and Purely Imaginary Numbers in Polar Form

Question

The complex number z{z} is given by
z=8e56πi.z=8 \mathrm{e}^{\frac{5}{6} \pi \mathrm{i}}.
Find the smallest positive integer n{n} such that zn{\displaystyle z^n} is real and positive.

Attempt

n={n = }

Answer

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