Решебник по алгебре 8 класс Макарычев ФГОС Задание 1176

\[\boxed{\text{1176.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]

\[\textbf{а)}\ 4^{- 2} = \frac{1}{4^{2}} = \frac{1}{16}\]

\[\textbf{б)}\ ( - 3)^{- 3} = \frac{1}{( - 3)^{3}} = - \frac{1}{27}\]

\[\textbf{в)}\ ( - 1)^{- 9} = \frac{1}{( - 1)^{9}} = - 1\]

\[\textbf{г)}\ ( - 1)^{- 20} = \frac{1}{( - 1)^{20}} = 1\]

\[\textbf{д)}\ \left( \frac{1}{7} \right)^{- 2} = 7² = 49\]

\[\textbf{е)}\ \left( - \frac{2}{3} \right)^{- 3} = \left( - \frac{3}{2} \right)^{3} = - \frac{27}{8}\]

\[\textbf{ж)}\ \left( 1\frac{1}{2} \right)^{- 5} = \left( \frac{3}{2} \right)^{- 5} =\]

\[= \left( \frac{2}{3} \right)^{5} = \frac{32}{243}\]

\[\textbf{з)}\ \left( - 2\frac{2}{5} \right)^{- 2} = \left( - \frac{12}{5} \right)^{- 2} =\]

\[= \left( - \frac{5}{12} \right)^{2} = \frac{25}{144}\]

\[\textbf{и)}\ {0,01}^{- 2} = 100² = 10\ 000\]

\[к)\ {1,125}^{- 1} = \left( \frac{9}{8} \right)^{- 1} = \frac{8}{9}\]