Question

Ma poate ajuta cineva? Urgent

Answer 1

Toate subpunctele au baze egale, deci vom compara doar puterile acestora:

a) => $\frac{4}{5} \frac{5}{6} => \frac{24}{30} \frac{25}{30} => 24<25 => 5^{\frac{4}{5}}<5^{\frac{5}{6}}$

b) => $\frac{6}{5} \frac{12}{10} => \frac{12}{10} \frac{12}{10} =>12=12 => 0,7^{\frac{6}{5}}=0,7^{\frac{12}{10}}$

c) => $\frac{10}{1} (-\frac{9}{10}) => \frac{100}{10} \frac{-9}{10} => 100>(-9) => 1,5^{\frac{10}{1}}>1,5^{-0,9}$

d) => $\sqrt{3} (\sqrt{2}+1) => 1,73 (1,41+1) => 1,73<2,41 => \sqrt{5}^{\sqrt{3} } < \sqrt{5}^{\sqrt{2}+1 }$