(1-i)/(1+i)=(1-i)^2/(1+i)×(1-i)=-2i/2=-i故((1-i)/(1+i))^100=(-i)^100=i^100=(i^4)^25=[(i^2)^2]^25=[(-1)^2]^25=1^25=1
(1-i)(1+i)=2结果为2^100
(1-i)/(1+i)=(1-i)(1+i)/(1+i)^2=2/2i=1/i=-i((1-i)/(1+i))^100=i^100=-1^50=1
1