6^17+17^6 divided by 7 what is remainder

• 6^17= 6 as a unit digit
  17^6= 17/4= 1 as remainder then 1^6= 1 as a unit digit.
  add (6+1)/7= 0 as a remainder.
• 10 years agoHelpfull: Yes(13) No(5)
• 6^17+17^6
  6^17 unit digit = 6
  17^6= 24137569,
  so unit digit = 9
  therefore 6+9=15
  hence 15%7
  remainder is 1
• 10 years agoHelpfull: Yes(13) No(8)
• It is divisible by 7, so rem will be 0.
  for 6^17/7=(-1)^17/7=-1
  Rem cant be a negetive. so 7-1=6 is rem.
  for 17^6/7=(3)^6/7=(27)^2/7=(-1)^2/7=1/7
  So rem for second part is 1.
  if we add both rms
  6+1=7 i.e. absolutely divisible by 7. so rem will be 0
  6+1=7
• 10 years agoHelpfull: Yes(8) No(5)
• 6^17+17^6=
  2821134045025/7
  remainder=2
• 9 years agoHelpfull: Yes(3) No(1)
• Ans is 0
  since 6^17=16926659444736
  
  and 17^6 is 24137569
  
  16926659444736 + 24137569 = 16926683582305
  
  16926683582305/7 =2418097654615
  
  thus remainder is 0 ans
• 9 years agoHelpfull: Yes(3) No(0)
• remainder should be 1
• 10 years agoHelpfull: Yes(1) No(7)
• 0 is the answer
  use remainder theorem
  
• 10 years agoHelpfull: Yes(1) No(1)
• 6^n=1st digit is 6
  17^3*17^3= 1st digit is 1.
  6+1=7/7=1
• 9 years agoHelpfull: Yes(1) No(2)
• 0 is the remainder
• 9 years agoHelpfull: Yes(1) No(0)
• 6^17+17^6=2403343899248660321
  remainder=3
• 9 years agoHelpfull: Yes(1) No(3)