Question

comparati : x=2 la 2008-2 la 2007 - 2 la 2003 si y=3 la 2006 -3 la 2005 - 3 la 2003 ; (la=la puterea**)

Answer 1

[tex]x=2^{2008}-2^{2007}-2^{2003}\\ x=2^{2003}(2^5-2^4-1)\\ x=2^{2003}(32-16-1)\\ x=2^{2003}\cdot 15\\ \\ y=3^{2006}-3^{2005}-3^{2003}\\ y=3^{2003} (3^3-3^2-1)\\ y=3^{2003}(27-9-1)\\ y=3^{2003}\cdot 17\\ \\ 3^{2003}\cdot 17 \ \textgreater \ 2^{2003} \cdot 15\\ \boxed{y\ \textgreater \ x}[/tex]