Question

Comparati : 3 la puterea 576 si 2 la puterea 1008.
Multumesc ! :)

Answer 1

$2^{1008}= 2^{7*144}= 128^{144}$

$3^{576}= 3^{4*144}= 81^{144}$

$3^{576}\ \textless \ 2^{1008}$

Answer 2

$3^{576}=3^{4*144}=81^{144} \\ 2^{1008}=2^{7*144}=128^{144} \\ 81^{144}\ \textless \ 128^{144}$
pentru ca expontii sunt egali si doar bazele difera
deci:
$3^{576}\ \textless \ 2^{1008}$