\[\boxed{\text{493}\text{\ (493)}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[при\ a = - 8:\]
\[a^{2} = ( - 8)^{2} = 64.\]
\[a^{2} = 7^{2} = 49.\]
\[( - a)^{2} = \left( - ( - 8) \right)^{2} = 8^{2} = 64.\]
\[при\ a = 7:\]
\[( - a)^{2} = ( - 7)^{2} = 49.\]
\[|a|^{2} = a^{2} = ( - 8)^{2} = 64.\]
\[|a|^{2} = a^{2} = 7^{2} = 49.\ \]
\[Вывод:квадрат\ и\ модуль\ \]
\[числа\ есть\ числа\ \]
\[неотрицательные.\]
\[При\ любом\ значении\ a:\]
\[a^{2} = ( - a)^{2} = |a|^{2}\]
\[\boxed{\text{4}\text{9}\text{3}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ \frac{5}{6} = 0,8(3)\]
\[период\ 3;\]
\[2)\ \frac{11}{15} = 0,7(3)\]
\[период\ 3;\]
\[3)\ \frac{9}{11} = 0,(81)\]
\[период\ 81;\]
\[4)\ \frac{31}{33} = 0,(93)\]
\[период\ 93.\ \]