Question

$- sqrt{3}+i$
$[2(cos( pi /8)+isin( pi /8)] ^{8}$

Answer 1

$Z^{n}=r^{n}(cosnphi +sinnphi)\\z^{n}=2^8[cos(8cdot frac{pi}{8})+isin(8cdot frac{pi}{8})]=\\=256(cospi +isinpi )=256(-1+icdot 0)=-256$