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AMC 12B 2025 (Problem 9)

What is the tens digit of 6666^{6^6}?
(A)  1\text{(A)}\;1(B)  3\text{(B)}\;3(C)  5\text{(C)}\;5(D)  7\text{(D)}\;7(E)  9\text{(E)}\;9

Solution 1

Solution 2

Solution 3