已知(6a^m b^3)^2÷(kab^2)^2=4a^2b^n,求m、n、k的值.

问题描述:

已知(6a^m b^3)^2÷(kab^2)^2=4a^2b^n,求m、n、k的值.

(6a^m*b^3)^2÷(kab^2)^2=(36/k²)*a^(2m-2)*b^(6-4)=4a^2b^n
那么36/k²=4,2m-2=2,6-4=n
所以m=2,n=2,k=±3