Find the remainder when 59^28 is divided by 7

1) 2
2) 4
3) 6
4) 1

• answer is 4
• 11 years agoHelpfull: Yes(2) No(2)
• 59^28/7= 3^28/7 = (3^6)^4 * 3^4/7 = 729^6 * 81/7 therefore rainder is 4 here after dividing 81 by 7.
  
• 10 years agoHelpfull: Yes(2) No(1)
• (56+3)^28/7 that gives 3^28/7
  =>((27^9)*3)/7
  =>((28-1)^9*3)/7
  =>((-1)^9*3)/7
  => (-1*3)/7=-3
  => -3 means negative of 3,it means -3+7=4
  hence 4 is the answer
• 10 years agoHelpfull: Yes(1) No(2)