∵|x+y+1|与(x-y-2)2互为相反数,∴|x+y+1|+(x-y-2)2=0,即 x+y+1=0 x?y?2=0 ,解得 x= 1 2 y=? 3 2 ,则(3x-y)4=( 3 2 + 3 2 )4=34=81.