[latex](sqrt3-i)^{17} \ z=sqrt3-i \ r=sqrt{(sqrt3)^2+(-1)^2}=2 \ alpha=arctg ({-frac{1}{sqrt3}})=-frac{pi}{6} \ z^{17}=2^{17}(cos(-frac{17*pi}{6})+i*sin(-frac{17*pi}{6}))=2^{17}(-frac{sqrt3}{2}+i(-frac{1}{2}))= \ \ =-2^{16}sqrt3-i*2^{16}= -65536sqrt3-i*65536[/latex]