Question

.\(10.\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

Answer 1

Giải:

\(10.\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

\(=10.\dfrac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

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

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

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

\(=10.\dfrac{2^{13}.3^{11}}{2^{11}.3^{11}.5}\)

\(=10.\dfrac{2^2}{5}\)

\(=2^3=8\)

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