Last digit? That is Huge!

If the last digit of 2 2018 2^{2018} is A A and the last digit of 6 2019 6^{2019} is B B .

What is A + B A + B ?

NOTE: Last digit is the rightmost digit of a number. For example the last digit of 25 25 is 5 5 .


The answer is 10.

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1 solution

Jason Carrier
Oct 8, 2018

The last digits of the powers of 2 cycle 2-4-8-6-2. Since 2018 is 2 more than a multiple of 4, A will be 4. All powers of 6 end in 6, so B is 6. So, the answer is 10.

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