Hello please tell me if i did my homework right, because i think my math teacher hates me lol anyway here we go:

the question:

for which of values of entirer natural N T one has:

[1+i (racing) 3] ^n real positive?

[1+i (racine) 3] ^n real negative?

[1+i (racing) 3] ^n imaginary pure?

for me the first 1 I got:

-postitive: n=6k (pi)

- negative: n=3+6k

to imaginair pure:

n/3=1/2+k = 2k/2 +1

P.S: (racine) =