Question

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

Answer 1

\(=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}=\dfrac{2^{12}\cdot3^{10}\cdot\left(1+5\right)}{2^{11}\cdot3^{11}\cdot\left(2\cdot3-1\right)}\)

\(=\dfrac{2}{3}\cdot\dfrac{6}{5}=\dfrac{12}{15}=\dfrac{4}{5}\)

Answer 2

\(=\dfrac{4096.59049+10077696.120}{4096.531441-362797056}=\dfrac{4}{5}\)