(2+2i)方/(1-根号3i)的4次方
问题描述:
(2+2i)方/(1-根号3i)的4次方
答
(2+2i)^2/(1-√3i)^4=4(1+i)^2/(-2-2√3i)^2=2i/(-2+2√3i)=i/(-1+√3i)=i(-1-√3i)/-4=(√3-i)/4
(2+2i)方/(1-根号3i)的4次方
(2+2i)^2/(1-√3i)^4=4(1+i)^2/(-2-2√3i)^2=2i/(-2+2√3i)=i/(-1+√3i)=i(-1-√3i)/-4=(√3-i)/4