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\(\frac{1.3.5....39}{21.22.23.....40}=\frac{\left(1.3.5.....39\right).\left(2.4.6.....40\right)}{\left(21.22.....40\right).\left(2.4.6.....40\right)}\)
\(=\frac{1.2.3.4.....40}{21.22.....40.\left(1.2.3.....40\right)2^{20}}\)
\(=\frac{1}{2^{20}}\)
\(A=1.2.3.4...2019.\left(2020.2021-2020^2\right)=1.2.3.4...2019.2020\)
\(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}+7.2^{29}.3^{18}}\)
\(=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{2^{28}.3^{18}.\left(5+7.2\right)}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}.19}=\frac{2^{28}.3^{18}.\left(5.4-2\right)}{2^{28}.3^{18}.19}\)
\(=\frac{5.4-2}{19}=\frac{18}{19}\)
