Question

Find the units' digit in the expression ${11}^1{.12}^2{.13}^3{.14}^4{.15}^5{.16}^6$ ?

Answer 1

Units' digit in the given expression
= Units' digit
of $1^1$ Units' digit of $2^2$
Units' digit of $3^3$ x Units' digit
of $4^4$ x Units' digit of $5^5$ x
Units' digit of $6^6$
= Units' digit of (1 x 4 x 7 x 6 x 5 x 6)
= Units' digit of 5040 = 0