### Instruction: What is $6^{12} \div 36^5$?### Response: To solve this problem, I need to use the properties of exponents and division.
I can rewrite $36^5$ as $(6^2)^5$, since 36 is a perfect square.
Then, using the power of a power rule, I can simplify $(6^2)^5$ as $6^{10}$.
So now I have $6^{12} \div 6^{10}$.
To divide powers with the same base, I can subtract the exponents.
So, $6^{12} \div 6^{10} = 6^{12 - 10} = 6^2$.