|z|=r=sqrt((-sqrt(3))^2+1^2)=2
argz=φ=tg(-1/sqrt(3))+π=(-π/6)+π=5π/6
-sqrt(3)+i =2*(cos(5π/6)+isin(5π/6));
По формуле Муавра
(-sqrt(3)+i)^(72)=2^(72)*cos(5π*72/6)+isin(5π*72/6))
или
(-sqrt(3)+i)^(72)=2^(72)*cos(π/3)+isin(π/3))=
==2^(72)*((1/2)+i(sqrt(3)/2))=
=2^(71)+i*2^(71)sqrt(3)