To simplify \( \frac{13^{12}}{12^{-10}} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). This allows us to rewrite the expression as follows:
\[ \frac{13^{12}}{12^{-10}} = 13^{12} \times 12^{10} \]
Now, the expression becomes:
\[ 13^{12} \times 12^{10} \]
This is already simplified as much as possible in terms of expressing the result in terms of powers of 13 and 12. Thus, the simplified expression is:
\[ 13^{12} \times 12^{10} \]
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