Time to Compare

\(A = 7^{10^{10^{10}}}\)\(\pmod 6\)

\(B = 6^{10^{10^{10}}}\)\(\pmod 7\)

What can we say about \(A\) and \(B\)?

Note: \(0\leq A<6\) and \(0\leq B<7\).

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