Задание

Выбери верные варианты ответа

Сравни значения выражений:

  1. \(5^{24}\) и \(3^{36}\) .

Имеем: \(5^{24}=(5^2)^{12}=25^{12}\) ; \({3^{36}\,\mathrlap{\,=}}\) \({=(3^3)^{12}=27^{12}}\) .

Поскольку \(25^{12}\) [ \(\gt\) | \(=\) | \(\lt\) ] \(27^{12}\) , то \(5^{24}\) [ \(\gt\) | \(=\) | \(\lt\) ] \(3^{36}\) .

  1. \(4^{24}\) [ \(\gt\) | \(=\) | \(\lt\) ] \(7^{18}\) .

  2. \(26^{18}\) [ \(\gt\) | \(=\) | \(\lt\) ] \(9^{27}\) .