\(10.\frac{\left(2^2\right)^6.\left(3^3\right)^5+\left(2.3\right)^9.\left(2^3.3.5\right)}{\left(2^4\right)^3.3^{12}-\left(2.3\right)^{11}}\)

\(=10.\frac{2^{12}.3^{15}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)

\(=10.\frac{2^{12}.3^{10}\left(3^5+1.5\right)}{2^{11}.3^{11}\left(2.3-1\right)}\)

\(=10\frac{2\left(3^5+5\right)}{3.5}\)

\(=10.\frac{496}{15}\)

\(=\frac{992}{3}\)

Study well 

10.\(\frac{241864704+1209323520}{2176782336-6^{11}}\)

=10.\(\frac{362797224}{1813985280}\)

=2,000000926

Giúp mình với

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

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

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

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

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

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

\(\frac{4^6+9^5+6^9.120}{8^4.3^{12}-6^{11}}\)

\(=\frac{2^{12}.3^{10}+120.6^9}{2^{12}.3^{12}-6^{11}}\)

\(=\frac{2^2.6^{10}+20.6.6^9}{\left(2.3\right)^{12}-6^{11}}\)

\(=\frac{4.6^{10}+20.6^{10}}{6^{22}-6^{11}}\)

\(=\frac{\left(4+20\right).6^{10}}{\left(6-1\right).6^{11}}\)

\(=\frac{24}{5.6}\)

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

to chi biet ket qua thoi nha

ket qua la

       4/5

\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+3^{10}.2^{12}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.6}{6^{12}-6^{11}}=\frac{2^{12}.3^{10}.6}{6^{11}\left(6-1\right)}=\frac{2^{10}.3^{10}\left(2^2+1\right).6}{6^{11}.5}=\frac{6^{11}.5}{6^{11}.5}=1\)