Calculate the remainder when 2^10 is divided by 3.
Note
Modulo 3 powers of 2 cycle: 2,1,2,1,... Since 10 is even, 2^10 ≡ 1 (mod 3). Thus the remainder is 1.
Calculate the remainder when 2^10 is divided by 3.
Modulo 3 powers of 2 cycle: 2,1,2,1,... Since 10 is even, 2^10 ≡ 1 (mod 3). Thus the remainder is 1.