问题
填空题
已知(y2)m-(xn+1)2÷xn=x3y4,则m=______,n=______.
答案
(y2)m•(xn+1)2÷xn=y2m•x2n+2÷xn=y2m•x2n+2-n=y2m•xn+2,
∵(y2)m•(xn+1)2÷xn=x3y4,
∴y2m•xn+2=x3y4,
∴n+2=3,2m=4,
解得,m=2,n=1.
已知(y2)m-(xn+1)2÷xn=x3y4,则m=______,n=______.
(y2)m•(xn+1)2÷xn=y2m•x2n+2÷xn=y2m•x2n+2-n=y2m•xn+2,
∵(y2)m•(xn+1)2÷xn=x3y4,
∴y2m•xn+2=x3y4,
∴n+2=3,2m=4,
解得,m=2,n=1.