what is unit's digit of 13^55?

• 55/4 rem=3
  power cycle of 3= {3,9,7,1}
  7 is in 3rd place
  so, unit digit=7
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• 13^5=3=3^11=unit digit is 7 so answer is 7
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• 55/4 , remainder is 3...now 3^3= 27....therefore 7 is unit place of 13^55
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• the unit digit of 13^55 will be 7
  we have to check it first that 55 is divisible by 8 or not if not then what will be its form and we know that it is in the form of 4n+3 and the unit digit of base(i.e13)is 3 so we have to find the power of its base unit digit3^3 and we know that it will come 27 so the unit digit will be 7
  if power is divisible by 4 then this rule will not be applied.
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