复数(1+i)^10/1-i等于?
问题描述:
复数(1+i)^10/1-i等于?
答
(1+i)^2=(1-1+2i)=2i
(1+i)^10 = (2i)^5 = 32i
(1+i)^10/(1-i) = 32i*(1+i) / [(1-i)(1+i)] = (32i-32) /2 = 16i-16