\(\frac{25.\left(-2\right)^{11}-2^{12}.10}{2^4.3^2.40}\) = \(\frac{5^2.\left(2\right)^{11}-2^{11}.2.10}{2^4.3^2.40}\)= \(\frac{\left(2\right)^{11}.\left(5^2-2.10\right)}{2^4.3^2.40}\)=\(\frac{\left(2\right)^{11-4=7}.\left(5^2-2.10\right)}{3^2.40}\)=\(\frac{\left(2\right)^7.\left(5\right)}{3^2.5.8}\)=\(\frac{\left(2\right)^7}{3^2.2^3}\)=\(\frac{\left(2\right)^{7-3}}{3^2}\)=\(\frac{16}{9}\)