\[\boxed{\text{117.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
Пояснение.
Решение.
\[\textbf{а)}\ \left( \frac{x}{2y} \right)^{3} = \frac{x^{3}}{(2y)^{3}} = \frac{x^{3}}{8y^{3}}\]
\[\textbf{б)}\ \left( \frac{3a}{c} \right)^{4} = \frac{(3a)^{4}}{c^{4}} = \frac{81a^{4}}{c^{4}}\]
\[\textbf{в)}\ \left( \frac{n^{2}}{10m} \right)^{3} = \frac{\left( n^{2} \right)^{3}}{(10m)^{3}} =\]
\[= \frac{n^{6}}{1000m³}\]
\[\textbf{г)}\ \left( \frac{9a^{3}}{2b^{2}} \right)^{2} = \frac{\left( 9a^{3} \right)^{2}}{\left( 2b^{2} \right)^{2}} = \frac{81a^{6}}{4b^{4}}\]