Question

Comparati numerele: 3 la puterea 2015 si 2 la puterea 3021 + 2 la puterea 3022

Answer 1

$2^{3021}+ 2^{3022}= 2^{3021} (1+2)=3. 2^{3021}$
Deci avem de comparat $3^{2014}$  cu $2^{3021}$
$3^{2014} = ( 3^{2}) ^{1007} \ \textgreater \ (2^{3})^{1007} = 2^{3021}$