Question

3 Tính

 

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

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Answer 1

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

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

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

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

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

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

Study well 

Answer 2

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

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

=2,000000926