Hey I have a question, what is (z+w)^9 and (z-w)^9 if z is \(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\) and w is \(-\frac{\sqrt{3}}{2}+\frac{1}{2}i\)

For (z-w)^9i keep getting -i but it seems to be wrong. I will appreciate it if anyone can help!

:)

Vinculum Jun 8, 2022