Question

Сравнить числа: (0,71)^-5 и (2,13)^-5

Answer 1

$(0,71)^{-5}=( frac{71}{100})^{-5}=( frac{100}{71})^5\\(2,13)^{-5}=( frac{213}{100})^{-5}=( frac{100}{213})^5\\ frac{100}{71} textgreater 1\\ 0 textless frac{100}{213} textless 1 \\ frac{100}{71} textgreater frac{100}{213}= textgreater (frac{100}{71})^5 textgreater (frac{100}{213})^5= textgreater (0,71)^{-5} textgreater (2,13)^{-5}$