Question

Determina ultima cifra a numarului 2 la puterea 12+6 la puterea 31.

Pls

Answer 1

$2^{12} + 6^{31}$ = 

$u(2^{0}) =1$
$u( 2^{1} )=2$
$u( 2^{2} )=4$
$u( 2^{3} )=8$
$u( 2^{4} )=..6$
$u( 2^{5} )=..2$
......
$u( 2^{12} )=...6$

$u( 6^{0} )=1$
$u( 6^{1} )=6$
$u( 6^{2} )=..6$
$u( 6^{3} )=..6$
.....
$u( 6^{31} )=..6$

$u( 2^{12} + 6^{31} )=6+6=...2$