\[a^{4} \cdot \ *\ \ :a^{13} = a^{2}\]
\[a^{4} \cdot \ *\ = a^{2} \cdot a^{13}\]
\[a^{4} \cdot \ * = a^{15}\]
\[*\ = a^{15}\ :a^{4}\]
\[*\ = a^{11}.\]