👤
Bianca1014
a fost răspuns

Comparați 11 la puterea 8 si 7 la puterea 18.
Comparați 13 la puterea 15 si 17 la puterea 7

Răspuns :

Spidie
11¹⁹=11¹⁸*11= (11³)⁶  *11=1331⁶*11 < 17¹⁸=  (17³)⁶ =4913⁶
 
13¹⁵ =13¹⁴*13= (13²)⁷*13=169⁷*13  >  17⁷

Rayzen
1)
[tex] 11^{19} = 11^{18}*11 [/tex]
=> [tex] 11^{18}*11 > 7^{18} [/tex] => [tex]11^{19} \ \textgreater \ 7^{18}[/tex]

2)
[tex]13^{15} = 13^{14}*13= (13^{2})^{7} *13 = 169^{7} *13[/tex]
=>[tex]169^{7} *13 \ \textgreater \ 17^{7} [/tex]
=> [tex] 13^{15} \ \textgreater \ 17^{7} [/tex]

Alte intrebari