whats the remainder of 6^50 divided by 215

• use reminder theorem. 6*6*6=216 so ((6^3)^16)*6*6. Now when (6^3)^16 divided by 215 the reminder is 1. so total remainder is 1*6*6=36. so reminder is 36.
• 11 years agoHelpfull: Yes(36) No(4)
• 6^3=216 this gives remainder 1
  6^4=1596 this gives remainder 6
  6^5=7776 this gives remainder 36
  6^6=46656 this gives remainder 1
  similarly,
  6^7 gives remainder 6(remainder is repeating)
  .
  .
  .
  Hence,6^50 gives remainder 36
• 11 years agoHelpfull: Yes(24) No(8)
• 6^3=216, 216/215=1
  
  1^16=1
  (6^3)^16=1
  
  ((6^3)^16)*6*6=36
• 11 years agoHelpfull: Yes(10) No(0)
• 6^50/215
  216^47/215
  216/215=1
  6^47/215
  this goes 6^45/215
  left 6^2
  so reminder 36
• 11 years agoHelpfull: Yes(2) No(5)
• as 6^3 divided by 215 remainder is 1 so in ((6^3)^16)*(6^2) remainder will be 6^2 that is 36
• 11 years agoHelpfull: Yes(2) No(0)
• 37 ,,(6)^50=(6)^3=216 then remainder 1
  then we divide 50 in 3 power ((6)^3)^16+6^2=6^50, 1+36=37 is answer
• 11 years agoHelpfull: Yes(0) No(10)
• we know that the remainder comes from the [(a+1)^n]/a is always equal to 1..
  (6)^50 = (6^3)^47
  (216)^47
  now ..
  [(215+1)^47]/215
  remainder=1
• 10 years agoHelpfull: Yes(0) No(0)
• 6^50=(6^3)16*6^2=(216^16)*(6^2)
  216/215----remainder=1 and 6^2=36
  so,remainder=36
• 9 years agoHelpfull: Yes(0) No(0)