Q. What is the remainder when 23^138 is divided by 12.

• Answer 1
  
  23 congruent -1(mod 12)
  
  23¹³⁸ congruent (-1)¹³⁸ (mod12) =1(mod 12)
• 12 years agoHelpfull: Yes(2) No(0)
• first 23^138..
  we calculate the mod of 23.it is 1.so,1^138 means 1.so remainder 1.
• 12 years agoHelpfull: Yes(2) No(0)
• isn't 23/12 11? how did -1 become +1??
• 11 years agoHelpfull: Yes(2) No(0)
• first div
  23/12
  the remainder is 1
  so 1^138
  
  Answer=1
• 11 years agoHelpfull: Yes(1) No(1)