若|x-1|+(y+2)2=0,则(x+y)2n+1=_(n为正整数).

问题描述:

若|x-1|+(y+2)2=0,则(x+y)2n+1=______(n为正整数).

根据题意得,x-1=0,y+2=0,
解得x=1,y=-2,
所以,(x+y)2n+1=(1-2)2n+1=-1.
故答案为:-1.