Question

unit digit of (2017)^2018

Answer 1

2017^1=2017=***7

2017^2=2017×2017=********9

2017^3=**********9×2017=**********3

2017^4=*********3×2017=***********1

2017^5=*********1×2017=************7

2017^6=**********7×2017=**********9

we found that in the result of 2017^1 to 2017^4 ,again in 2017^5 to 2017^8 unit place contains the digits 7, 9 , 3 , 1 repeatedly by order of four .

we are to calculate 2017^2016 only unit place digit .