已知a^2+2a+b^2-6b+10=0,求a^b的值

已知a^2+2a+b^2-6b+10=0,求a^b的值
已知a^2+2a+b^2-6b+10=0,求a^b的值

已知a^2+2a+b^2-6b+10=0,求a^b的值
a^2 + 2a + b^2 - 6b + 10
= (a^2 + 2a + 1) + (b^2 - 2*3*b + 9)
= (a + 1)^2 + (b - 3)^2
= 0
a+1=0
b-3=0
a = -1
b = 3
a^b=(-1)^3=-1