\[\boxed{\text{94\ (94).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ a^{2}b \cdot \ *\ = a^{2}b^{2}\]
\[*\ = \frac{a^{2}b^{2}}{a^{2}b}\]
\[*\ = b.\]
\[2)\ 5xy^{3} \cdot \ *\ = 10x^{4}y^{6}\]
\[*\ = \frac{10x^{4}y^{6}}{5xy^{3}}\]
\[*\ = 2x^{3}y^{3}.\]
\[3)\ 6x^{5} \cdot \ *\ = 12x^{10}\]
\[*\ = \frac{12x^{10}}{6x^{5}}\]
\[*\ = 2x^{5}.\]