Thursday, September 25, 2014

JMO

What is the unit's digit of the number 62564256



6256
Units place = 6
4256
The units place gets repeated after every 3rd power
43]85 x 4
= {[...4]3}28 x 4 x 4
= [{....4}3]9 x 4 x 4 x 4
= {[....4]3}3 x 43
= [.....4]3 x ...4
= ...4 x ....4
= ....6

Therefore, the units place for  [6256 - 4256] = 6 – 6 = 0

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