Question

Find the unit digit of expression 111.122.133.144.155.166.

Answer 1

Answer:

Units' digit of the given expression= Units' digit of 1^1+ Units' digit of 2^2 + Units' digit of 3 ^3 + Units' digit of 4 ^4 + Units' digit of 5 ^5 + Units' digit of 6

^6

6 =Units' digit of (1+4+7+6+5+6)

6 =Units' digit of (1+4+7+6+5+6)=Units' digit of 29=9

6 =Units' digit of (1+4+7+6+5+6)=Units' digit of 29=9[Note 3 ^3 =27,4 ^4 =256 units' digit for any power of 5 and 6=5 and 6 respectively]