若复数z=[(3-4i)^2乘以(2-i)^4]/(1+2i)^6,则|z|=?

问题描述:

若复数z=[(3-4i)^2乘以(2-i)^4]/(1+2i)^6,则|z|=?

|z|=|3-4i|^2*|2-i|^4/(1+2i|^6
=5^2*(√5)^4/(√5)^6
=5