Đáp án: 8
Giải thích các bước giải:
$\begin{array}{l}
10.\dfrac{{{4^6}{{.9}^5} + {6^9}.120}}{{{8^4}{{.3}^{12}} - {6^{11}}}}\\
= 10.\dfrac{{{2^{2.6}}{{.3}^{2.5}} + {2^9}{{.3}^9}{{.2}^3}.3.5}}{{{2^{3.4}}{{.3}^{12}} - {2^{11}}{{.3}^{11}}}}\\
= 10.\dfrac{{{2^{12}}{{.3}^{10}} + {2^{12}}{{.3}^{10}}.5}}{{{2^{12}}{{.3}^{12}} - {2^{11}}{{.3}^{11}}}}\\
= 10.\dfrac{{{2^{12}}{{.3}^{10}}.\left( {1 + 5} \right)}}{{{2^{11}}{{.3}^{11}}.\left( {2.3 - 1} \right)}}\\
= 10.\dfrac{{2.6}}{{3.5}}\\
= 8
\end{array}$
