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10.\(\frac{4^6+6^9.120}{8^4.3^{12}-6^{11}}\)AI LÀM ĐƯỢC MÌNH TICK CHO
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\(10.\frac{\left(2^2\right)^6.\left(3^3\right)^5+\left(2.3\right)^9.\left(2^3.3.5\right)}{\left(2^4\right)^3.3^{12}-\left(2.3\right)^{11}}\)
\(=10.\frac{2^{12}.3^{15}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=10.\frac{2^{12}.3^{10}\left(3^5+1.5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=10\frac{2\left(3^5+5\right)}{3.5}\)
\(=10.\frac{496}{15}\)
\(=\frac{992}{3}\)
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10.\(\frac{241864704+1209323520}{2176782336-6^{11}}\)
=10.\(\frac{362797224}{1813985280}\)
=2,000000926
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(=\frac{2.6}{3.5}\)
\(=\frac{4}{5}\)
\(\frac{4^6+9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+120.6^9}{2^{12}.3^{12}-6^{11}}\)
\(=\frac{2^2.6^{10}+20.6.6^9}{\left(2.3\right)^{12}-6^{11}}\)
\(=\frac{4.6^{10}+20.6^{10}}{6^{22}-6^{11}}\)
\(=\frac{\left(4+20\right).6^{10}}{\left(6-1\right).6^{11}}\)
\(=\frac{24}{5.6}\)
\(=\frac{4}{5}\)
\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+3^{10}.2^{12}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.6}{6^{12}-6^{11}}=\frac{2^{12}.3^{10}.6}{6^{11}\left(6-1\right)}=\frac{2^{10}.3^{10}\left(2^2+1\right).6}{6^{11}.5}=\frac{6^{11}.5}{6^{11}.5}=1\)
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Trả lời :
\(10.\frac{\left(2^2\right)^6+\left(2.3\right)^9\left(2^3.3.5\right)}{\left(2^3\right)^4.3^{12}-\left(2.3\right)^{11}}\)
\(10.\frac{2^{12}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(10.\frac{2^{12}\left(3^{10}.5+1\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)
\(10.\frac{2.\left(3^{10}.5+1\right)}{3^{11}.5}\)
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