if x is divided by 13 the remainder is 12 .find the remainder if x^13 is divided by 13

• x mod 13 = 12
  x = 13y+12
  
  (13y + 12)^13 mod 13
  13y always divisible by 13... so rem = 0...
  12^13 mod 13
  (13*1 - 1)^13 mod 13
  (-1)^13 mod 13
  -1 mod 13
  -1+13 mod 13
  12 mod 13
  
  Ans : 12
  
  
• 10 years agoHelpfull: Yes(8) No(0)