解
/2x-6/与(y+1)²互为相反数
∴/2x-6/+(y+1)²=0
∵/2x-6/≥0
(y+1)²≥0
∴2x-6=0
y+1=0
∴x=3,y=-1
∴y^x=(-1)³=-1
x³-y^2014
=3³-(-1)^2014
=27-1
=26