Math Help - really dumb question

1. really dumb question

hey im really dumb,
but is
$(e^{i \pi/4})^ 4$
=
$e^{i \pi}$
because
$(e^{i \pi/4})^ 4 = e^{4 i \pi/4}$ ?

2. Good question

Hello,

3. Congratulations. You have found a fourth root of -1 ( $-1=e^{i\pi}$). How many others can you find?