已知|a-2|+(b+1/4)^2=0,求(a^b-2ab)-2(3ab^2+4ab)的值

已知|a-2|+(b+1/4)^2=0,求(a^b-2ab)-2(3ab^2+4ab)的值
已知|a-2|+(b+1/4)^2=0,求(a^b-2ab)-2(3ab^2+4ab)的值

已知|a-2|+(b+1/4)^2=0,求(a^b-2ab)-2(3ab^2+4ab)的值
|a-2|+(b+1/4)^2=0
∵|a-2|≥0,(b+1/4)^2≥0
∴a-2=0,b+1/4=0
a=2,b=-1/4
(a^b-2ab)-2(3ab^2+4ab)
=a^b-6ab^2-10ab
=2^(1/4)-6*2*(1/4)^2-10*2*1/4
=2^(1/4)-3/4-5
=2^(1/4)-23/4