\[\boxed{\text{114\ (114).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ \frac{2a^{2}b}{3xy} \cdot \frac{3x^{2}y}{4ab^{2}} \cdot \frac{6ax}{15b^{2}} =\]
\[= \frac{2 \cdot a^{2}b \cdot 3 \cdot x^{2}y \cdot 3 \cdot 2ax}{3 \cdot xy \cdot 4ab^{2} \cdot 5 \cdot 3 \cdot b^{2}} =\]
\[= \frac{a^{2}x^{2}}{5b^{3}}\ \]
\[\textbf{б)}\ \frac{6m^{3}n^{2}}{35p^{3}} \cdot \frac{49n^{4}}{m^{5}p^{3}} \cdot \frac{5m^{4}p^{2}}{42n^{6}} =\]
\[= \frac{{6 \cdot m}^{3}n^{2} \cdot 7 \cdot 7 \cdot n^{4} \cdot 5 \cdot m^{4}p^{2}}{5 \cdot 7 \cdot p^{3}{\cdot m}^{5}p^{3{\cdot 7 \cdot 6 \cdot n}^{6}}} =\]
\[= \frac{m^{2}}{p^{4}}\]