To divide \( 13^{12} \) by \( 13^{-10} \), you can use the property of exponents which states that when you divide two powers with the same base, you subtract the exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case:
\[ \frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22} \]
So, \( 13^{12} \div 13^{-10} = 13^{22} \).