Решебник по алгебре 8 класс Мерзляк Задание 863

\[\boxed{\mathbf{863\ (863).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \frac{x}{7a^{2}b^{3}} \cdot \frac{y}{4c} = \frac{6a^{3}c^{2}}{b}\]

\[\frac{x}{7a^{2}b^{3}} \cdot \frac{y}{4c} = \frac{6a^{3}}{b} \cdot c^{2}\]

\[\frac{x}{7a^{2}b^{3}} = \frac{6a^{3}}{b}\]

\[x = \frac{42a^{5}b^{3}}{b} = \frac{42a^{5}b^{2}}{1} = 42a^{5}b^{2}\]

\[\frac{y}{4c} = c^{2}\]

\[y = 4c^{3}\]

\[2)\ \frac{36m^{2}n^{4}}{x}\ :\frac{y}{35p^{6}} = \frac{21n}{5mp^{3}}\]

\[\frac{36m^{2}n^{4}}{x} \cdot \frac{35p^{6}}{y} = \frac{21n}{5m} \cdot \frac{1}{p^{3}}\]

\[\frac{36m^{2}n^{4}}{x} = \frac{21n}{5m}\]

\[x = \frac{36m^{2}n^{4} \cdot 5m}{21n} = \frac{60m^{3}n^{3}}{7}\]

\[\frac{35p^{6}}{y} = \frac{1}{p^{3}}\]

\[y = 35p^{9}\]