A special exponent

Algebra Level 3

{x=ab=bab=aaa≠b\large \begin {cases} x = a^b = b^a\\ b = a^a\\ a \neq b\end {cases}

The above system of equations is true for only one triplet of positive integers (x,a,b)(x, a, b). What is xx?

D C by D C
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