Final answer:
The fraction \(\frac{1}{x^{12}}\) can be rewritten with a negative exponent as \(x^{-12}\), reflecting the rule that a negative exponent moves the base to the opposite side of the fraction line.
Step-by-step explanation:
To rewrite the fraction \(\frac{1}{x^{12}}\) with a negative exponent, you simply move the base to the numerator and change the sign of the exponent. This is because a negative exponent indicates that the base is on the opposite side of the fraction line. Therefore, \(\frac{1}{x^{12}}\) can be rewritten as \(x^{-12}\).