6^17+17^7 when divided by 7, remainder is....?

• 
  ans =2
  
  6^17+17^7=(7-1)^17+(14+3)^7;(we know that 7^17 will always divided by 7 .so)
  = -1+ ((3)7/7) ; (14 is eliminated cause its also divided by 7)
  = -1+ (2187/7);
  = -1+3;
  = 2
  
  
• 12 years agoHelpfull: Yes(4) No(4)
• ans is 2
  with the help of remainder theorem
• 12 years agoHelpfull: Yes(2) No(3)