2分之根号2乘以(1-i)的2008次方等于多少?

问题描述:

2分之根号2乘以(1-i)的2008次方等于多少?

[√2/2*(1-i)]^2008
={[√2/2*(1-i)]²}^1004
=[1/2(1+i²-2i)]^1004
=[1/2(-2i)]^1004
=[(-i)²]^502
=(1)^502
=1