(2^2014^302) is divided by 9.whats the remainder?

• checking the cyclicty of 2 ... we get 7 as remainder
  
• 9 years agoHelpfull: Yes(1) No(0)
• (2^214^302)/9
  first of all find euler of 9 ...... E(9)=3^2=( 9*(3-1))/3=6
  NOW (214^302)/6 if we divide 214 by 6 then we get either 4 remainder or -2 remainder also 302 divided by 6 we get 2 as remainder
  ((-2)^2)/6= 4/6
  
  2^4/9= 16/9 = remainder 7 so ans is 7
• 7 years agoHelpfull: Yes(0) No(0)