Question

已知8a^m-6b^-11+n与-2a^3m-2b^2n的积与5a^4b是同类项,求(m-n)^2011的值

Answer 1

已知8a^(m-6)b^(-11+n)与-2a^(3m-2)b^(2n)的积与5a^4b是同类项,求（m-n)^2011的值?

[8a^(m-6)b^(-11+n)][-2a^(3m-2)b^(2n)]

=-16a^(m-6+3m-2)b^(-11+n+2n)

=-16a^(4m-8)b^(3n-11)

-16a^(4m-8)b^(3n-11)与5a^4b是同类项,

4m-8=4,m=3;

3n-11=1,n=4;

(m-n)^2011=(3-4)^2011=(-1)^2011=-1.