\[\boxed{\text{448\ (448).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ \left( a^{2} \right)^{4} = a^{2 \cdot 4} = a^{8}\]
\[\textbf{б)}\ a^{3} \cdot \left( a^{3} \right)^{2} = a^{3} \cdot a^{6} = a^{3 + 6} =\]
\[= a^{9}\]
\[\textbf{в)}\ \left( a^{5} \right)^{2} \cdot \left( a^{2} \right)^{2} = a^{10} \cdot a^{4} =\]
\[= a^{10 + 4} = a^{14}\]
\[\textbf{г)}\ \left( a^{3} \right)^{3} \cdot \left( a^{3} \right)^{3} = a^{9} \cdot a^{9} =\]
\[= a^{9 + 9} = a^{18}\]
\[\textbf{д)}\ \left( a^{3}a^{3} \right)^{2} = \left( a^{6} \right)^{2} = a^{6 \cdot 2} =\]
\[= a^{12}\]
\[\textbf{е)}\ \left( a \cdot a^{6} \right)^{3} = \left( a^{7} \right)^{3} = a^{7 \cdot 3} =\]
\[= a^{21}\ \]