\(\frac{11\cdot3^{22}\cdot3^7-9^{15}}{\left(2\cdot3^{14}\right)^2}\)
\(=\frac{11\cdot3^{29}-3^{30}}{2^2\cdot3^{28}}\)
\(=\frac{3^{29}\left(11-3\right)}{3^{28}\cdot2^2}\)
\(=\frac{3\cdot2^3}{2^2}\)
\(=3\cdot2\)
\(=6\)
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\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
\(=\frac{11+3^{22+}-\left(3^2\right)^{15}}{2^2.3^{14.2}}\)
\(=\frac{11.3^{29}-3^{30}}{2^2.3^{28}}\)
\(=\frac{3^{29}\left(11-3\right)}{3^{28}.2^2}\)
\(=\frac{3.2^3}{2^2}\)
\(=6\)
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