\(A=\left[\dfrac{4}{11}.\left(\dfrac{1}{25}\right)^0+\dfrac{7}{22}.2\right]^{2010}-\left(\dfrac{1}{2^2}:\dfrac{8^2}{4^2}\right)^{2009}\)
....=.\(\left(\dfrac{4}{11}.1+\dfrac{7}{11}\right)^{2010}-\left(\dfrac{1}{2^2}.\dfrac{4^2}{8^2}\right)^{2009}\)
.....\(=\left(\dfrac{4}{11}+\dfrac{7}{11}\right)^{2010}-0\)
....\(=1-0=1\)