Решебник по алгебре 9 класс Мерзляк Задание 865

\[\boxed{\mathbf{865\ (865).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \frac{7^{9}}{7^{10}} = \frac{1}{7}\]

\[2)\ \frac{125^{3}}{25^{4}} = \frac{\left( 5^{3} \right)^{3}}{\left( 5^{2} \right)^{4}} = \frac{5^{9}}{5^{8}} = 5^{1} = 5\]

\[3)\ \frac{32^{5}}{64^{4}} = \frac{\left( 2^{5} \right)^{5}}{\left( 2^{6} \right)^{4}} = \frac{2^{25}}{2^{24}} = 2^{1} = 2\]

\[4)\ \frac{39^{8}}{3^{10} \cdot 13^{7}} = \frac{3^{8} \cdot 13^{8}}{3^{10} \cdot 13^{7}} =\]

\[= \frac{13}{3^{2}} = \frac{13}{9}\]