\[3^{4} \cdot \left( - \frac{2}{3} \right)^{3} + \frac{1}{( - 0,1)^{3}} =\]
\[= - \frac{3^{4} \cdot 2^{3}}{3^{3}} + \frac{1}{\left( - \frac{1}{10} \right)^{3}} =\]
\[= - 3^{4 - 3} \cdot 8 - \frac{10^{3}}{1} =\]
\[= - 3 \cdot 8 - 1000 =\]
\[= - 24 - 1000 = - 1024.\]