Hi I don't understand how the answer to this question came about.
Find the argument expressed in the range of (-pi , pi] of -3ie^{-(i}^{π/4) }
Thank you! Why is it not -pi/4?
The correct answer is $\large\dfrac{-3\pi}{4}$ See HERE.
$\large\text{Arg}(-3\bf{i})=\dfrac{-\pi}{2}$ and $\large\text{Arg}\left(\exp(-\frac{\bf{i}\pi}{4}\right)=\dfrac{-\pi}{4}$ the sum of which is $\large\dfrac{-3\pi}{4}$