Question

已知a^2m-1a^n+2=a^10,且3m-2n=-4,求m,n的值

Answer 1

a^(2m-1)*a^(n+2)=a^10

a^(2m-1+n+2)=a^10

2m-1+n+2=10

2m+n=9...1)

且3m-2n=-4,...2)

1)*3-2)*2:

6m+3n-6m+4n=27+8

7n=35,n=5

2m+5=9,m=2.