\[\left( a \cdot \left( a^{3} \right)^{2} \cdot \left( a^{2} \right)^{3} \right)^{2} = \left( a \cdot a^{6} \cdot a^{6} \right)^{2} =\]
\[= \left( a^{13} \right)^{2} = a^{26}\]