1. The problem is to evaluate the expression $-12^{-12}$. 2. Recall the order of operations: exponents are evaluated before negation. So, $-12^{-12}$ means the negative of $12^{-12}$. 3. The expression $12^{-12}$ means $\frac{1}{12^{12}}$. 4. Therefore, $-12^{-12} = -\frac{1}{12^{12}}$. 5. This is a very small negative number since $12^{12}$ is a very large positive number. 6. The final answer is $-\frac{1}{12^{12}}$.