Ta có: \(5\left(2^2\cdot3^2\right)^9\cdot\left(2^2\right)^6-2\left(2^2\cdot3\right)^{14}\cdot3^6\)
\(=5\cdot2^{18}\cdot3^{18}\cdot2^{12}-2\cdot2^{28}\cdot3^{14}\cdot3^6\)
\(=5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}=2^{29}\cdot3^{18}\cdot\left(5\cdot2-3^2\right)\)
\(=2^{29}\cdot3^{18}\)
Ta có: \(5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}\)
\(=2^{28}\cdot3^{18}\left(5\cdot3-7\cdot2\right)=2^{28}\cdot3^{18}\)
Ta có: \(A=\frac{5\left(2^2\cdot3^2\right)^9\cdot\left(2^2\right)^6-2\left(2^2\cdot3\right)^{14}\cdot3^6}{5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\frac{2^{29}\cdot3^{18}}{2^{28}\cdot3^{18}}=2\)
