(0.25)^(1/2)×(-1/27)^(-2/3)是怎么化简?

学习 时间:2026-05-30 01:22:18 阅读:2847
(0.25)^(1/2)×(-1/27)^(-2/3)是怎么化简?

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笑点低的乐曲

悦耳的香氛

2026-05-30 01:22:18

(0。25)^(1/2)×(-1/27)^(-2/3)=(1/4)^(1/2)×(-1/27)^(-2/3)=[(1/2)^2]^1/2×[(-1/3)^3]^(-2/3)=(1/2)^(2×1/2)×(-1/3)^(-3*2/3)=1/2×(-1/3)^(-2)=1/2×1/(-1/3)^2=1/2×1/(1/9)=1/2×9=9/2

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  • 土豪的秋天
    回复
    2026-05-30 01:22:18

    (0。25)^(1/2)×(-1/27)^(-2/3)=(1/4)^(1/2)×(-1/27)^(-2/3)=[(1/2)^2]^1/2×[(-1/3)^3]^(-2/3)=(1/2)^(2×1/2)×(-1/3)^(-3*2/3)=1/2×(-1/3)^(-2)=1/2×1/(-1/3)^2=1/2×1/(1/9)=1/2×9=9/2

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