计算(√3+i)^5/(-1+√3i)

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计算(√3+i)^5/(-1+√3i)计算(√3+i)^5/(-1+√3i)计算(√3+i)^5/(-1+√3i)(√3+i)^5/(-1+√3i)=【2^5(cos30°+isin30°)^5】/【

计算(√3+i)^5/(-1+√3i)
计算(√3+i)^5/(-1+√3i)

计算(√3+i)^5/(-1+√3i)
(√3+i)^5/(-1+√3i)
=【2^5 (cos30°+isin30°)^5】/【2(cos120°+isin120°)】
=16[cos150°+isin150°】/【cos120°+isin120°】
=16(cos30°+isin30°)
=16(√3/2+1/2i)
=8√3+8i

(√3+i)^5/(-1+√3i)
=[(√3+i)^2])^2*(√3+i)/(-1+√3i)
=8*(-1+√3i)*(√3+i)/(-1+√3i)
=8(√3+i)