Question

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

Answer 1

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

Answer 2

1)
$11^{19} = 11^{18}*11$
=> $11^{18}*11 > 7^{18}$ => $11^{19} \ \textgreater \ 7^{18}$

2)
$13^{15} = 13^{14}*13= (13^{2})^{7} *13 = 169^{7} *13$
=>$169^{7} *13 \ \textgreater \ 17^{7}$
=> $13^{15} \ \textgreater \ 17^{7}$