Question

ordonati crescator numerele: a)5 la puterea 26;3 la puterea 39;2 la puterea 65 B)10la puterea19. , 2la puterea57,3la puterea38

Answer 1

$5^{26} = (5^{2})^{13}= 25^{13}$
$3^{39}=(3^3)^{13}=27^{13}$
$2^{65}=(2^5)^{13}=32^{13}$
$5^{26}<3^{39}<2^{65}$

b)
$10^{19}$
$2^{57}=(2^3)^{19}=8^{19}$
$3^{38}=(3^2)^{19}=9^{19}$
$2^{57}<3^{38}<10^{19}$