Question

ultima cifra a numarului 1^2013+5^2013+6^2013+101 este

Answer 1

1^2013 = 1
5^2013 = ........5 
6^2013=..........6
101  = ...1
deci = > 1 +5 +6 + 1 = 13 = > ultima cifra 3 

Answer 2

2013 = 503×4+1
U(1^2013) = U(1^503×4+1) = U(1^1) = 1
U(5^2013) = U(5^503×4+1) = U(5^1) = 5
U(6^2013) = U(6^503×4+1) = U(6^1) = 6
U(101) = 1

U(1+5+6+1) = U(13) = 3