Question

[Ichigo]

Tính

a, \(\dfrac{4^6.9^5+6^9.120}{-8^4.3^{12}-6^{11}}\)

Answer 1

[Hắc Tử Thần]

$\frac{4^6{.9}^5+6^9.120}{-8^4{.3}^{12}-6^{11}}$

\(=\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

\(=\dfrac{2^{12}.3^{10}+3^9.2^9.3.2^3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

\(=\dfrac{2^{12}.3^{10}\left(1+5\right)}{2^{11}3^{11}\left(6-1\right)}\)

\(=\dfrac{2^{13}3^{11}}{2^{11}.3^{11}.5}\)

\(=\dfrac{2^2}{5}=\dfrac{4}{5}\)