7.6^10.2^10.3^6-2^19.6^15 / 9.6^19.2^9-4.3^17.2^26

Đáp án: $\dfrac{{ - 16363}}{{184320}}$

Giải thích các bước giải:

$\begin{array}{l}
\dfrac{{{{7.6}^{10}}{{.2}^{10}}{{.3}^6} - {2^{19}}{{.6}^{15}}}}{{{{9.6}^{19}}{{.2}^9} - {{4.3}^{17}}{{.2}^{26}}}}\\
 = \dfrac{{{{7.2}^{10}}{{.3}^{10}}{{.2}^{10}}{{.3}^6} - {2^{19}}{{.2}^{15}}{{.3}^{15}}}}{{{3^2}{{.2}^{19}}{{.3}^{19}}{{.2}^9} - {2^2}{{.3}^{17}}{{.2}^{26}}}}\\
 = \dfrac{{{2^{20}}{{.3}^{16}}.7 - {2^{34}}{{.3}^{15}}}}{{{2^{28}}{{.3}^{21}} - {2^{28}}{{.3}^{17}}}}\\
 = \dfrac{{{2^{20}}{{.3}^{15}}.\left( {3.7 - {2^{14}}} \right)}}{{{2^{28}}{{.3}^{17}}.\left( {{3^4} - 1} \right)}}\\
 = \dfrac{{21 - {2^{14}}}}{{{2^8}{{.3}^2}.\left( {81 - 1} \right)}}\\
 = \dfrac{{ - 16363}}{{184320}}
\end{array}$