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\(\dfrac{7.4^5.3^{11}+2^{15}.9^5}{6^{10}+2^{12}.3^{10}}\)
\(=\dfrac{7.\left(2^2\right)^5.3^{11}+2^{15}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}\)
\(=\dfrac{7.2^{10}.3^{11}+2^{15}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
\(=\dfrac{2^{10}.3^{10}\left(7.3+2^5\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
\(=\dfrac{7.3+2^5}{1+2^2}\)
\(=\dfrac{53}{5}\)
\(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}=\frac{2^{11}\cdot3^9}{2^9\cdot3^{10}}=\frac{2^2}{3}=\frac{4}{3}\)
\(\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2.960^3}\)
\(=\frac{5^2.2^{11}.3^{11}.2^8+2^2.3^2.2^6.2^6.3^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4-3^4.2^{18}.3^3.5^3}\)
\(=\frac{5^2.2^{19}.3^{11}+2^{14}.3^{10}.5^2}{2^{17}.3^{12}.5^4-3^7.2^{18}.5^3}\)
\(=\frac{5^2.2^{14}.3^{10}.\left(2^5.3-1\right)}{2^{17}.3^7.5^3.\left(3^5.5-2\right)}\)
\(=\frac{3^3.95}{2^3.5.1213}\)
\(=\frac{2565}{48520}\)\(=\frac{513}{9704}\)
Bạn Aoi Ogata trả lời sai rồi mình bấm máy tính kết quả khác cơ nhưng mình vẩn cho bạn một k nhé
=\(\frac{7.\left(2^2\right)^5.3^{10}.3+2^{10}.2^3.\left(3^2\right)^5}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{7.2^{10}.3^{10}.3+2^{10}.2^3.3^{10}}{2^{10}.3^{10}+2^{10}.3^{10}.2^2}\)
=\(\frac{2^{10}.3^{10}\left(7.3+2^3\right)}{2^{10}.3^{10}\left(1+2^2\right)}\)
=\(\frac{7.3+2^3}{1+2^2}\)
\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
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