Question

Comparati nr. 5la puterea 33 si 3 la puterea 55. 2 la puterea 44 si 5la puterea 33. 5 la puteea 333 si 125 la puterea 111 va rog dau coroana

Answer 1

[tex]5^{33}=5^{11*3}=125^{11}; 3^{55}=3^{5*11}=243^{11} 125^{11} \ \textless \ 243^{11} \implies 5^{33} \ \textless \ 3^{55} 5^{33}=5^{3*11}=125^{11}; 2^{44}=2^{4*11}=16^{11} 16^{11}\ \textless \ 125^{11} \implies 2^{44} \ \textless \ 5^{33} [/tex]

[tex]5^{333} = 5^{3*111}=125^{111} 125^{111}=125^{111} \implies 5^{333}=125^{111}[/tex]