若(a的m+1次方乘b的n+2次方)乘(a的2n-1次方乘b的2m次方)=a的5次方b的3次方,则m+n的值为多少

Question

如题所述

Answer 1

(a的m+1次方乘b的n+2次方)乘(a的2n-1次方乘b的2m次方)
=a的（m+1+2n-1)次方 xb的(n+2+2m)次方=a的5次方b的3次方
m+1+2n-1=5, n+2m+2=3, m+2n=5,n+2m=1相加，3m+3n=6, m+n=2

Answer 2

a^(m+1)*b^(n+2)*a^(2n-1)*b^2m=a^5*b^3
m+1+2n-1=5;n+2+2m=3;m=-1,n=3

Answer 3

m+2n=6,2m+n=1,两式相加得3m+3n=7,m+n=7/3