Задание

Выполни задания

Заполни пропуски в определении.

Если \(a \gt b \gt 0\) , \(r \lt 0\) , то \(a^r\) [ \(\gt\) | \(\lt\) | \(=\) ] \(b^r\) .

Сравни выражения.

  1. \(\left ( \dfrac{3}{4} \right ) ^{-5}\) [ \(\gt\) | \(=\) | \(\lt\) ] \(\left ( \dfrac{1}{4} \right ) ^{-5}\) .
  2. \(\left ( \dfrac{1}{2} \right ) ^{-\frac{1}{2}} \) [ \(\gt\) | \(=\) | \(\lt\) ] \(\left ( \dfrac{1}{3} \right ) ^{-\frac{1}{2}}\) .
  3. \(\left (\dfrac{1}{6} \right ) ^{-0,5} \) [ \(\gt\) | \(=\) | \(\lt\) ] \(\left ( \dfrac{1}{5} \right ) ^{-0,5}\) .