What sort of sorcery is this?

Algebra Level 2

{ab=abab=a3b\large{ \begin{cases} ab = a^b \\\\ \frac{a}{b} = a ^ {3b} \\ \end{cases}}

a a and bb are real numbers such that a>1 a > 1 and b0 b \neq 0 , satisfying the above system.

Find ba. b ^ { -a}.

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