Question

Find the value of |z| where z^3 = i, first write |i| in polar form.

Answer 1

$z^3=i=e^{i\pi/2}\implies z\in\left\{e^{i\pi/6},e^{5i\pi/6},e^{3i\pi/2}\right\}$

In each case, $|z|=1$.