已知3^m=6,3^n=2,求3^2m-3n的值
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已知3^m=6,3^n=2,求3^2m-3n的值
![已知3^m=6,3^n=2,求3^2m-3n的值](/uploads/image/z/5610979-19-9.jpg?t=%E5%B7%B2%E7%9F%A53%5Em%3D6%2C3%5En%3D2%2C%E6%B1%823%5E2m-3n%E7%9A%84%E5%80%BC)
3^(2m-3n)
=3^2m/3^3n
=(3^m)^2/(3^n)^3
=6^2/2^3
=36/8
=9/2
=3^2m/3^3n
=(3^m)^2/(3^n)^3
=6^2/2^3
=36/8
=9/2
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