Question

Comparati numerele $a= 3^{84}$ si $b= 5^{56}$

Answer 1

   
$a= 3^{84} = 3^{3 * 28}= ( 3^{3} )^{28} = 27^{28} \\ \\ b= 5^{56} = 5^{2 * 28} =(5^{2} )^{28}= 25^{28} \\ \\ 27^{28}>25^{28} \\ \\ => 3^{84}>5^{56} \\ \\ =>a>b$