No, you don't! That would be showing this is a NOT an injection. It would not be showing this is a surjection. To show this is a surjection you need to show that if z is a complex number such that for some n then there exist a complex number w such that such that w^k= z for this specific z.

For z= -1, take w= -1.My other question about this is do we need to find an x, y for each k? For example, is only true for even k.

I'm just not wrapping this one around in my head today.

Thanks!

-Dan