^ one merely needs to prove that 1)Last digit of N^k = last digit of n^k; where n is the last digit of N...
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^ 2) demonstrate that last digit of m^5 = m;m=1...9. From 1) and 2) it directly follows that last digit of any number l= last digit of l^5.
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I wish I understood numbers they just don't work in my head
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Surely a power of 8 cannot end in a 9? Nice diagram, though

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Rock n roll maths. Statistical virtuosity. Quantum tunesmithery.
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Are you really in the pub answering maths equations on Twitter?
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It's not a great time
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A slightly simplified proof of the fact.
#numbers#induction#0_IsANaturalNumberpic.twitter.com/R6q1rUhvTS
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