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