Question

Сравните : №1. 3/11^2 и 3/11^(√5) №2. 7^(-4,2) и √48^(-4,2)

Answer 1

$\frac{3}{11^2}\; \ \textgreater \ \; \frac{3}{11^{\sqrt5}}\; ,\; \; t.k.\; \; 11^2\ \textless \ 11^{\sqrt5}\; ,\; t.k.\; 2\ \textless \ \sqrt5\approx 2,24\\\\7^{-4,2}=\frac{1}{7^{4,2}}=\frac{1}{(\sqrt{49})^{4,2}}\; \ \textless \ \; (\sqrt{48})^{-4,2}=\frac{1}{(\sqrt{48})^{4,2}}\; ,\; t.k.\; \sqrt{49}\ \textgreater \ \sqrt{48}$