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计算Z=(-1+i/1+根号3i)的6次方
人气:435 ℃ 时间:2020-01-01 09:07:52
解答
Z=(-1+i/1+根号3i)的6次方
=[(-1+i)^2/(1+根号3i)^2]^3
=[(-2i)/(2+2根号3i)]^3
=[-i/(1+√3i)]^3
=i/[(1+√3i)^2*(1+√3i)]
=i/[(-2+2√3i)(1+√3i)]
=i/8
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