设实数m,n满足m^2n^2+m^2+n^2+10mn+16=0求m^n

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设实数m,n满足m^2n^2+m^2+n^2+10mn+16=0求m^n
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设实数m,n满足m^2n^2+m^2+n^2+10mn+16=0求m^n
设实数m,n满足m^2n^2+m^2+n^2+10mn+16=0求m^n

设实数m,n满足m^2n^2+m^2+n^2+10mn+16=0求m^n
m^2*n^2+8mn+16+m^2+n^2+2mn=0,
(mn+4)^2+(m+n)^2=0,
mn=-4,m=-n,
则当m=2时,n=-2,
当m=-2时,n=2.
当m=2,n=-2时
m^n=2^-2=1/4
当m=-2,n=2时
m^n=(-2)^2=4