Question

Aratati ca numarul 16^5+8^5 se divide cu 33

Answer 1

$16^{5} + 8^{5}$=

=$( 2^{4} )^{5} + ( 2^{3} )^{5}$=

=$2^{20} + 2^{15}$=

=$2^{15} * ( 2^{5} +1)$=

=$2^{15} * ( 32 +1)$=

=$2^{15} * 33$ este divizibil cu 33.