Question

已知3x的n减6次幂乘y的负3减m次幂与负4x的3m加1次幂y的2n次幂的积与负x的4次幂y是同类项,

Answer 1

[3x^(n-6)y^(-3-m)]*[-4x^(3m+1)y^(2n)

=-12x^(n-6+3m+1)y^(-3-m+2n)

=-12x^(3m+n-5)y^(2n-m-3)

∵其与-x^4y是同类项

∴3m+n-5=4

2n-m-3=1

解得：m=2 n=3

∴m^n+n^m

=2³+3²=17