You can
put this solution on YOUR website!We're looking at
Well,
so
ends in 3.
ends in 3*3 or 9.
ends in 9*3 =27 so it ends in 7.
ends in 7*3 = 21 so it ends in 1.
ends in 1*3 or 3. So it ends in the same as
.
ends in 3*3 ends the same as
.
ends in 9*3 ends the same as
.
So, the pattern repeats every 4 powers. So,
ands with the same digit as
and
which is 3.
ends in 7.
ends in the same digit as 7*7, or 9.
ends in the same digit as 9*7, or 3.
ends in the same digit as 3*7, or 1.
ends in the same digit as 1*7, which ends the same way as
.
So, this pattern also repeats every 4 powers.
So,
ends the same way as
and
and
which is with a 9.
So,
ends with the same digit as
which ends in 3 multiplied by the last digit of
which is 9.
So, the big product ends in
so 7 is the last digit of the big product.
(