Решебник по алгебре 8 класс Мерзляк Задание 859

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\[1)\ \frac{9x}{y} \cdot \frac{y}{24x} = \frac{9xy}{24xy} = \frac{3}{8}\]

\[2)\ \frac{m^{2}n^{3}}{25t} \cdot \left( \frac{- 5t}{mn^{2}} \right) = - \frac{m^{2}n^{3}5t}{25tmn^{2}} =\]

\[= - \frac{\text{mn}}{5}\]

\[3)\ \frac{16a^{4}}{21b^{5}} \cdot \frac{9b^{2}}{10a^{3}} = \frac{16a^{4} \cdot 9 \cdot b^{2}}{21b^{5} \cdot 10a^{3}} =\]

\[= \frac{24a}{35b^{3}}\]

\[4)\ 26m² \cdot \frac{3n^{2}}{13m^{4}} = \frac{26m^{2} \cdot 3n^{2}}{13m^{4}} =\]

\[= \frac{6n^{2}}{m^{2}}\]

\[5)\ \frac{24t^{7}}{16u^{3}} \cdot 34u^{5} = \frac{24t^{7} \cdot 34u^{5}}{16u^{3}} =\]

\[= \frac{3 \cdot 17t^{7}u^{2}}{1} = 51t^{7}u²\]

\[6)\ \frac{4x^{5}y² \cdot 21xb² \cdot 25a^{5}y}{7a³b \cdot 10y³a² \cdot 3x^{4}b} = 10x²\]