ГДЗ по алгебре 7 класс Макарычев Задание 416

\[\ \boxed{\text{416\ (416).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

Пояснение.

Решение.

\[\textbf{а)}\ 5^{6}\ :5^{4} = 5^{6 - 4} = 5^{2} = 25\]

\[\textbf{б)}\ 10^{15}\ :10^{12} = 10^{15 - 12} = 10^{3} =\]

\[= 1000\]

\[\textbf{в)}\ {0,5}^{10}\ :{0,5}^{7} = {0,5}^{10 - 7} =\]

\[= {0,5}^{3} = 0,125\]

\[\textbf{г)}\ \left( 1\frac{1}{3} \right)^{8}:\left( 1\frac{1}{3} \right)^{6} = \left( \frac{4}{3} \right)^{8 - 6} =\]

\[= \left( \frac{4}{3} \right)^{2} = \frac{16}{9} = 1\frac{7}{9}\]

\[\textbf{д)}\ {2,73}^{13}\ :{2,73}^{12} = {2,73}^{13 - 12} =\]

\[= 2,73\]

\[\textbf{е)}\ \left( - \frac{2}{3} \right)^{7}:\left( - \frac{2}{3} \right)^{4} = \left( - \frac{2}{3} \right)^{7 - 4} =\]

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