\[\left( - 2\frac{1}{3} \right)^{24}:\left( - 2\frac{1}{3} \right)^{22} \cdot \left( - 2\frac{1}{3} \right) =\]
\[= \left( - 2\frac{1}{3} \right)^{3} = - \left( \frac{7}{3} \right)^{3} =\]
\[= - \frac{323}{27} = - 12\frac{19}{27}\]