Решебник по алгебре 8 класс Мерзляк Задание 157

\[\boxed{\text{157\ (157).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\left( \frac{4a^{2}}{b^{3}} \right)^{2} \cdot x = \frac{6a}{b^{2}}\]

\[x = \frac{6a}{b^{2}}\ :\left( \frac{4a^{2}}{b^{3}} \right)^{2} = \frac{6a \cdot b^{6}}{b^{2} \cdot 16a^{4}} =\]

\[= \frac{3b^{4}}{8a^{3}}\]

\[2)\ \left( \frac{2b^{4}}{3c} \right)^{3}\ :x = \frac{b^{6}}{12}\]

\[x = \left( \frac{2b^{4}}{3c} \right)^{3}\ :\frac{b^{6}}{12} = \frac{8b^{12} \cdot 12}{27c^{3} \cdot b^{6}} =\]

\[= \frac{32b^{6}}{9c^{3}}\]