What will be the remainder when 17^200 is divided by 18

• 17^200 % 18
  
  (17-18)^200 % 18
  
  (-1)^200 % 18
  
  1 % 18 = 1
  
  Ans : 1
• 10 years agoHelpfull: Yes(28) No(8)
• 17^200 / 18
  = (18-1)^200 / 18
  = (-1)^200 / 18
  = 1/18
  remainder = 1
• 10 years agoHelpfull: Yes(10) No(3)
• 17^200/18
  (17^2)^100/18
  (289)^100/18
  when we divide 289 by 18 we get 1 as remainder
  so(1)^100/18=1
• 10 years agoHelpfull: Yes(6) No(1)
• (17^2)^100=(289)^100 now divide 289 by 18 we get 1 .using remainder theorem , (1)^100 /18 =1 so 1 is the remainder.
• 10 years agoHelpfull: Yes(2) No(1)
• (18-1)^200/18 remainder will be 1.if the power will be odd then the remainder will be 17 ie (18-1)
• 10 years agoHelpfull: Yes(2) No(0)
• 17^200 % 18
  
  =(18-1)^200 % 18
  =(-1)^200%18
  =1 REMAINDER IS 1
• 10 years agoHelpfull: Yes(1) No(1)