What Is the Last Digit of 72016?

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Notice the pattern of the last digits. They are 7, 9, 3, 1, 7, 9, 3, 1, 7, 9, … 7,9,3,1,7,9,3,1,7,9,\\ldots 7,9,3,1,7,9,3,1,7,9,…. The last digit repeats in a pattern that is 4 digits long: 7,9,3,1 7,9,3,1. 89 89 times, with two extra entries at the end. These last two entries are 9 9. 2^ {2016} 22016. 2, 4, 8, 6, 2, 4, 8, 6, …