\(\left\{\left[3^{14}.69+12.3^{14}\right]:3^{16}-7\right\}:2^4\)
\(=\left\{\left[3^{14}.\left(69+12\right)\right]:3^{16}-7\right\}:16\)
\(=\left\{\left[3^{14}.81\right]:3^{16}-7\right\}:16\)
\(=\left\{\left[3^{14}.3^4\right]:3^{16}-7\right\}:16\)
\(=\left\{3^{18}:3^{16}-7\right\}:16\)
\(=\left\{3^2-7\right\}:16\)
\(=\left\{9-7\right\}:16\)
\(=2:16\)
\(=\frac{1}{8}\)