$\frac{{{2}^{12}}{{.3}^{5}}-{{4}^{6}}{{.9}^{2}}}{{{\left( {{2}^{2}}.3 \right)}^{6}}+{{8}^{4}}{{.3}^{5}}}-\frac{{{5}^{10}}{{.7}^{3}}-{{25}^{5}}{{.49}^{2}}}{{{(125.7)}^{3}}+{{5}^{9}}{{.14}^{3}}}$

$=\frac{{{2}^{12}}{{.3}^{5}}-{{2}^{12}}{{.3}^{4}}}{{{2}^{12}}{{.3}^{6}}+{{2}^{12}}{{.3}^{5}}}-\frac{{{5}^{10}}{{.7}^{3}}-{{5}^{10}}{{.7}^{4}}}{{{5}^{9}}{{.7}^{3}}+{{5}^{9}}{{.7}^{3}}{{.2}^{3}}}$

$=\frac{3-1}{{{3}^{2}}+3}-\frac{5-5.7}{1+{{2}^{3}}}$

$=\frac{2}{12}-\frac{-30}{9}=\frac{7}{2}$