Find the units digit of 2483^(122!).

• The unit digit of 2483^(122!) is 9
  
  Reason - 3 ------> 3 itself unit term
  
  3^2 ----> 9 itself unit term
  
  3^3 -----> 7 is the unit term
  
  3^4 ------> 1 is the unit term
  
  now if you will multiply further then repetition will start as 3,9,7,1 .....3,9,7,1 ....3,9,7,1 ...
  
  Now if we will divide 122/4 then in this 120 is completly divided by 4 but +2 is still there.
  
  Therefore 9 is the answer (3 , 9 , 7 ,1)
  
  
  
  
  
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• 3*3=9
  9*9=81..so unit digit is 1
  power of 1^122!=1
  so unit digit will be 1
• 10 years agoHelpfull: Yes(0) No(0)