We have already found the units place digit for some numbers
like 0, 1, 5, 6 and 2. So far we have seen that there are some numbers for
which we don’t need any explanation to find out their units place digit.
Here we come to find the units place digit of 3, 4, 8, and 7.
Let’s take a look:
If Units place digit is 4 or 8, then we should first divide
the power by 4 and then represent in the form of 44 or 84.
In that case the value of 44 and 84 will be 6. [Because 4*4*4*4 = 256
or 8*8*8*8 = 4096]
(124)372
= (4) (372/4)
= (44)93
= 44 = 256
(128)325
= (8) (324/4)
= (84)81
= 84 = 4096
So the unit place digit is 6.
Again, if the unit place digit is 3 or 7, then we should
first divide the power by 4 and then represent in the form of 34 and
74. In that case the value of 34 and 74 will
be 1.
(2467)153 = (7) (153/4)
= (74)38 * 71
= 74 * 7
= 1 * 7 =
7
[74 = 7*7*7*7 = 2401]
(293)141
= (3) (141/4)
= (34)35 * 31
= 34 * 3
= 1 * 3 = 3
[34 = 3*3*3*3 = 81]
So the unit place
digits are 7 and 3 respectively.