Question

[Nguyễn Phương Anh]

Tính

\(\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)

Answer 1

[nghia]

\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)

                                \(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

                                \(=\frac{2^{12}.3^{10}}{2^{11}.3^{11}}.\frac{1+5}{2.3-1}\)

                                \(=\frac{2^{12}.3^{10}}{2^{11}.3^{11}}.\frac{6}{5}\)

                                \(=\frac{2}{3}.\frac{6}{5}\)

                                 \(=\frac{4}{5}\)

Answer 2

[Le Anh Tung]

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