Last digit of a power


Problem solving with programming: Last digit of a power
Given a number expressed in base, exponent form (ab) where a is arbitrary big number For example contains 100 digits, We have to write a program to find the last digit in it's expanded form.

Eg: 45712 has a last digit of 1
We have to observe that the powers of single digit repeat after if we go on increasing the exponent.
Look at the following table. It gives a fair idea of our approach.
1234
11111
22486
33971
44646
55555
66666
77931
88426
99191

The the last digit in the power of 2 repeats every multiple of 4. Similarly the last digit in powers of 4 repeats every multiple of 2. and so on. 


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