10^x=2,10^y=3,求100^2x-(1/4y)的值
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10^x=2,10^y=3,求100^2x-(1/4y)的值
![10^x=2,10^y=3,求100^2x-(1/4y)的值](/uploads/image/z/18908090-26-0.jpg?t=10%5Ex%3D2%2C10%5Ey%3D3%2C%E6%B1%82100%5E2x-%281%2F4y%29%E7%9A%84%E5%80%BC)
100^[2x-(1/4)y]
= 10^[4x-(1/2)y]
= 10^(4x) / 10^[(1/2)y]
= (10^x)^4 / (10^y)^(1/2)
= 2^4 / 3^(1/2)
= 16 / √3
= (16/3)√3
= 10^[4x-(1/2)y]
= 10^(4x) / 10^[(1/2)y]
= (10^x)^4 / (10^y)^(1/2)
= 2^4 / 3^(1/2)
= 16 / √3
= (16/3)√3
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