Question

Rút gọn :

A = \(\dfrac{6^{12}.3^3.5-7.9^7.2^{13}}{2.4^7.5-2^{14}.3^2}\)

Answer 1

\(A=\dfrac{6^{12}\cdot3^3\cdot5-7\cdot9^7\cdot2^{13}}{2\cdot4^7\cdot5-2^{14}\cdot3^2}\)

\(=\dfrac{2^{12}\cdot3^{12}\cdot3^3\cdot5-7\cdot3^{14}\cdot2^{13}}{2\cdot2^{14}\cdot5-2^{14}\cdot3^2}\\ =\dfrac{2^{12}\cdot3^{15}\cdot5-7\cdot2^{13}\cdot3^{14}}{2^{15}\cdot5-2^{14}\cdot3^2}\)

\(=\dfrac{2^{12}\cdot3^{14}\left(3\cdot5-7\cdot2\right)}{2^{14}\left(5-3^2\right)}\)

\(=\dfrac{3^{14}\cdot1}{-4}=\dfrac{-3^{14}}{4}=\dfrac{-4782969}{4}=-1195742,25\)