\[\boxed{\text{241\ (241).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[1)\ 8 \cdot \ * = 2^{8}\ \]
\[2^{3} \cdot \ * = 2^{8}\text{\ \ }\]
\[*\ = 2^{8}\ :2^{3} = 2^{8 - 3} = 2^{5}.\]
\[2)\ a^{n} \cdot \ * = a^{3n + 2},\ \]
\[*\ = a^{3n + 2}\ :a^{n} = a^{3n + 2 - n} =\]
\[= a^{2n + 2}.\]