Verified Answer :

\(\frac{(12^{-5})^2}{12^{-4}}=\frac{12^{-5\times2}}{12^{-4}}=\frac{12^{-10}}{12^{-4}}=12^{-10-(-4)}=12^{-10+4}=12^{-6}\\\\Answer:\boxed{-6}\)

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