Express $ z=-32 $ in exponential form.
My reasoning:
$ z=-32 $ is the same as $ z=-32+0i $
Exponential form should look like $ z=Re^{\theta i} $
$ R =\sqrt{(-32)^2 + 0^2} = 32 $
$ \theta = \tan^{-1}(\frac{0}{-32}) = 0 $
So answer becomes: $ z = 32e^{0i} = 32 $
But, obviously, $ -32 \ne 32 $
What am I missing?