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Power - ful (Posted on 2003-12-31) Difficulty: 3 of 5
What is the last digit of the number:

8^(7^(6^(5^(4^(3^(2^1))))))

[(a)^b implies 'a' raised to the power of 'b', ((a)^b)^c implies 'a' raised to the power 'bc', but a^(b^c) implies 'a' raised to the power 'b' raised to the power 'c'.]

See The Solution Submitted by Ravi Raja    
Rating: 3.4000 (5 votes)

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Some Thoughts Almost (50%) there | Comment 1 of 11
It must be either 2 or 8, for all odd powers of 8 end with one of these numbers.
  Posted by Federico Kereki on 2003-12-31 09:58:58
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