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19 tháng 5 2018

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

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

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

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

\(=10.\frac{2.6}{3.5}\)

\(=10.\frac{4}{5}\)

\(=8\)

19 tháng 5 2018

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

\(=10.\frac{\left(2^2\right)^6.\left(3^2\right)^5+\left(2.3\right)^9.2^3.3.5}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)

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

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

\(=10.\frac{2.6}{3.5}\)

\(=\frac{10.2.6}{3.5}\)

\(=\frac{2.5.2.2.3}{3.5}\)

\(=2.2.2\)

\(=2^3\)

\(=8\)

7 tháng 8 2016

\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}.10=\frac{2^{12}.3^{10}+2^9.3^9.120}{2^{12}.3^{12}-2^{11}.3^{11}}.10=\frac{2^{10}.3^{10}\left(2^2+20\right)}{2^{10}.3^{10}\left(6^2-6\right)}.10=\frac{24.10}{30}=8\)

10.46.95+69.120 :; 84.312-611

5 tháng 10 2017

........... là gì vậy

5 tháng 10 2017

trrertre

13 tháng 8 2020

Sửa đề : \(10.\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

13 tháng 8 2020

\(10\cdot\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)

\(=10\cdot\frac{2^{12}\cdot3^{10}+2\cdot9\cdot3^9\cdot2^3\cdot3\cdot5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

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

\(=10\cdot\frac{2\cdot6}{3\cdot5}=8\)

7 tháng 1 2017

giúp mk với

bài này khó quá!

giúp nha

thanks

Đầu tiên ta rút gọn \(\frac{4^{^6}.9^{^5}+6^{^9}.120}{8^{^4}.3^{^{12}}-6^{^{11}}}\)\(\frac{2^{^{12}}.3^{^{10}}+2^{^9}.3^{^9}.2^{^3}.3.5}{2^{^{12}}.3^{^{12}}-2^{^{11}}-3^{^{11}}}\)\(\frac{2^{^{12}}.3^{^{10}}+2^{^{12}}.3^{^{10}}.5}{2^{^{12}}.3^{^{12}}-2^{^{11}}.3^{^{11}}}\)\(\frac{2^{^{12}}.3^{^{10}}.\left(1+5\right)}{2^{^{11}}.3^{^{11}}.\left(6-1\right)}\)\(\frac{2.6}{3.5}\)\(\frac{12}{15}\)\(\frac{4}{5}\)

\(\Rightarrow\)10 . \(\frac{4}{5}\)\(\frac{40}{5}\)= 8

24 tháng 6 2018

Giải:

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

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

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

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

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

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

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

\(=2^3=8\)

Vậy ...

11 tháng 7 2018

cảm ơn