已知实数a,b,c满足|a-1|+(b+3)^2+√(3c-1)^2=0,求(abc)^125÷(a^9b^3c^2)的值已知a(x^m y^4)^3÷(3x^2 y^n)^2=4x^2 y^2,求a,m,n的值 已知2(a^m b^3)^2÷(-二分之一a^2 b^n)=ka^6b^4,求m^n分之一+k分之一的值
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![已知实数a,b,c满足|a-1|+(b+3)^2+√(3c-1)^2=0,求(abc)^125÷(a^9b^3c^2)的值已知a(x^m y^4)^3÷(3x^2 y^n)^2=4x^2 y^2,求a,m,n的值 已知2(a^m b^3)^2÷(-二分之一a^2 b^n)=ka^6b^4,求m^n分之一+k分之一的值](/uploads/image/z/1664211-3-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0a%2Cb%2Cc%E6%BB%A1%E8%B6%B3%7Ca-1%7C%2B%28b%2B3%29%5E2%2B%E2%88%9A%283c-1%29%5E2%3D0%2C%E6%B1%82%28abc%29%5E125%C3%B7%28a%5E9b%5E3c%5E2%29%E7%9A%84%E5%80%BC%E5%B7%B2%E7%9F%A5a%28x%5Em+y%5E4%29%5E3%C3%B7%EF%BC%883x%5E2+y%5En%29%5E2%3D4x%5E2+y%5E2%2C%E6%B1%82a%2Cm%2Cn%E7%9A%84%E5%80%BC+%E5%B7%B2%E7%9F%A52%EF%BC%88a%5Em+b%5E3%29%5E2%C3%B7%EF%BC%88-%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80a%5E2+b%5En%EF%BC%89%3Dka%5E6b%5E4%2C%E6%B1%82m%5En%E5%88%86%E4%B9%8B%E4%B8%80%2Bk%E5%88%86%E4%B9%8B%E4%B8%80%E7%9A%84%E5%80%BC)
已知实数a,b,c满足|a-1|+(b+3)^2+√(3c-1)^2=0,求(abc)^125÷(a^9b^3c^2)的值已知a(x^m y^4)^3÷(3x^2 y^n)^2=4x^2 y^2,求a,m,n的值 已知2(a^m b^3)^2÷(-二分之一a^2 b^n)=ka^6b^4,求m^n分之一+k分之一的值
已知实数a,b,c满足|a-1|+(b+3)^2+√(3c-1)^2=0,求(abc)^125÷(a^9b^3c^2)的值
已知a(x^m y^4)^3÷(3x^2 y^n)^2=4x^2 y^2,求a,m,n的值 已知2(a^m b^3)^2÷(-二分之一a^2 b^n)=ka^6b^4,求m^n分之一+k分之一的值
已知实数a,b,c满足|a-1|+(b+3)^2+√(3c-1)^2=0,求(abc)^125÷(a^9b^3c^2)的值已知a(x^m y^4)^3÷(3x^2 y^n)^2=4x^2 y^2,求a,m,n的值 已知2(a^m b^3)^2÷(-二分之一a^2 b^n)=ka^6b^4,求m^n分之一+k分之一的值
因为|a-1|+(b+3)^2+√(3c-1)^2=0,其中等式左端的每一项都大于等于0,所以只能是a=1,b=-3,c=1/3.所以(abc)^125÷(a^9b^3c^2)=(-1*3*1/3)^125÷(-1^9*3^3*1/3^2)=-1÷(-27)=1/27
把粗俗移到等式右边即a(x^m y^4)^3=4x^2 y^2*(3x^2 y^n)^2,化简后有ax^2m*y^12=12x^6*y^(2n+ 2) 得到方程a=12,3m=6,2n+2=12有a=12,m=2,c=5
化简有2a^(2m)b^6=-k/2*a^8b(n+4),得到方程-k/2=2,2m=8,n+4=6有k=-4,m
=4,n=2,所以1/m^n+1/k=1/16-1/4=-3/16