已知六次多项式-5x²y^m-1+xy^2-6,单项式2^2x^2ny^5-m的次数也是6,求m,n的值
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![已知六次多项式-5x²y^m-1+xy^2-6,单项式2^2x^2ny^5-m的次数也是6,求m,n的值](/uploads/image/z/3755726-62-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%85%AD%E6%AC%A1%E5%A4%9A%E9%A1%B9%E5%BC%8F-5x%26%23178%3By%5Em-1%2Bxy%5E2-6%2C%E5%8D%95%E9%A1%B9%E5%BC%8F2%5E2x%5E2ny%5E5-m%E7%9A%84%E6%AC%A1%E6%95%B0%E4%B9%9F%E6%98%AF6%2C%E6%B1%82m%2Cn%E7%9A%84%E5%80%BC)
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已知六次多项式-5x²y^m-1+xy^2-6,单项式2^2x^2ny^5-m的次数也是6,求m,n的值
已知六次多项式-5x²y^m-1+xy^2-6,单项式2^2x^2ny^5-m的次数也是6,求m,n的值
已知六次多项式-5x²y^m-1+xy^2-6,单项式2^2x^2ny^5-m的次数也是6,求m,n的值
答:
六次多项式-5x²y^m-1+xy^2-6:
2+m=6
m=4
单项式(2^2)x^(2n)y^(5-m)的次数也是6:
2n+5-m=6
2n+5-4=6
2n=5
n=5/2
综上所述,m=4,n=5/2