cos φ =-sqrt(3)/2
sin φ =1/2
φ =(5π/6)
-sqrt(3)+i = 2*(cos(5π/6) + i sin (5π/6))
(-sqrt(3)+i)^5= 2^(5)*(cos5*(5π/6) + i sin 5*((5π/6) )=
=32*(cos(25π/6) +isin(25π/6))=
=32*(cos(4 π+(π/6))+ i sin (4π+(π/6))=
=32*(cos(π/6)+ i sin (π/6))=(32*sqrt(3)/2)+i*(1/2)= 16 sqrt(3) +16*i