Tính: 11.3^22.3^7-9^15/(2*3^14)^2

Lời giải:

\[\frac{{11 \times {3^{22}} \times {3^7} - {9^{15}}}}{{{{\left( {2 \cdot {3^{14}}} \right)}^2}}}\]

\[ = \frac{{11 \times {3^{22}} \times {3^7} - {{\left( {{3^2}} \right)}^{15}}}}{{{{\left( {2 \cdot {3^{14}}} \right)}^2}}}\]

\[ = \frac{{11 \times {3^{29}} - {3^{30}}}}{{2{}^2 \cdot {3^{28}}}}\]

\[ = \frac{{{3^{29}} \cdot \left( {11 - 3} \right)}}{{2{}^2 \cdot {3^{28}}}}\]

\[ = \frac{{3 \cdot 8}}{4} = 6\].