Question

Comparati numerele a= 2 la puterea 50 - 2 la puterea 49 - 2 la puterea 48 si b= 3 la puterea 32

Answer 1

[tex]a=2^{50}-2^{49}-2^{48}=2^{48}(2^2-2-1)= 2^{48}(4-2-1)=2^{48}\\ b=3^{32}\\ a ~~~~ b\\ 2^{48}~~~~3^{32}\\ (2^3)^{16}~~~~~(3^2)^{16}\\ 8^{16} \ \textless \ 9^{16}\Rightarrow \boxed{a\ \textless \ b}[/tex]