ГДЗ по математике 6 класс Дорофеев Задание 932

\[\boxed{\mathbf{932\ (932)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[\textbf{а)}\ \ \left( - \frac{2}{3} \right)^{2} = \left( - \frac{2}{3} \right) \bullet \left( - \frac{2}{3} \right) = \frac{2}{3} \bullet \frac{2}{3} = \frac{2 \bullet 2}{3 \bullet 3} = \frac{4}{9}\]

\[\textbf{б)}\ \left( - \frac{2}{3} \right)^{3} = \left( - \frac{2}{3} \right)^{2} \bullet \left( - \frac{2}{3} \right) = \frac{4}{9} \bullet \left( - \frac{2}{3} \right) = - \frac{4 \bullet 2}{9 \bullet 3} = - \frac{8}{27}\]

\[\textbf{в)}\ \left( - \frac{1}{10} \right)^{4} = \left( - \frac{1}{10} \right) \bullet \left( - \frac{1}{10} \right) \bullet \left( - \frac{1}{10} \right) \bullet \left( - \frac{1}{10} \right) = + \frac{1 \bullet 1 \bullet 1 \bullet 1}{10 \bullet 10 \bullet 10 \bullet 10} =\]

\[= \frac{1}{10000}\]

\[\textbf{г)}\ \left( - \frac{1}{10} \right)^{3} = \left( - \frac{1}{10} \right) \bullet \left( - \frac{1}{10} \right) \bullet \left( - \frac{1}{10} \right) = - \frac{1 \bullet 1 \bullet 1}{10 \bullet 10 \bullet 10} = - \frac{1}{1000}\]

\[\textbf{д)}\ ( - 0,2)^{2} = ( - 0,2) \bullet ( - 0,2) = + (0,2 \bullet 0,2) = 0,04\]

\[\textbf{е)}\ ( - 0,5)^{3} = ( - 0,5) \bullet ( - 0,5) \bullet ( - 0,5) = - \left( \frac{1}{2} \bullet \frac{1}{2} \bullet \frac{1}{2} \right) = - \frac{1}{8} = - 0,125\]