👤

Se considera numerele x = |[tex] 2^{24} [/tex] - [tex] 8^{7} [/tex]| si y = |[tex] 9^{7}[/tex] - [tex] 81^{4}[/tex]
a) Determinati nr. x si y
b) Comparati nr. x si y


Răspuns :

[tex]a) x=|2^{24}-8^7|=|2^{24}-2^{21}|=2^{24}-2^{21}=2^{21}\left(8-1\right)=2^{21}\cdot 7\\y=|9^7-81^4|=|3^{14}-3^{16}|=3^{16}-3^{14}=3^{14}(9-1)=3^{14}\cdot 8\\ b)\text{Dup\u{a} calcule de mai sus deducem c\u{a}} \,\,x\ \textgreater \ y. [/tex]