复数(1+i/1-i)^4的值为多少
问题描述:
复数(1+i/1-i)^4的值为多少
答
为您提供精确解答、、
(1+i/1-i)^4
=[(1+i)(1+i)/(1-i)(1+i)]^4
=[(1+i)^2/2]^4
=[(1+i)^8]/16
=[(2i)^4]/16
=i^4
=1