Discussion
Find the unit digit of \(6^{6^{6}}\)
Answer: D
Every positive power of 6 ends in 6:
\[ 6,\ 36,\ 216,\ 1296,\ \ldots \]
So whatever the exponent \( 6^{6} \) works out to, the unit digit is 6 - the tower never has to be evaluated.
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