1. **State the problem:** Simplify the expression $-12x^{-12}$. 2. **Recall the rule for negative exponents:** For any nonzero number $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$. 3. **Apply the rule:** $$-12x^{-12} = -12 \times \frac{1}{x^{12}} = -\frac{12}{x^{12}}$$ 4. **Final answer:** The simplified form of $-12x^{-12}$ is $$-\frac{12}{x^{12}}$$ This means the variable $x$ with a negative exponent moves to the denominator with a positive exponent.