Final answer:
The value of cos⁻¹(-1) is π radians. When cos⁻¹(-1) is raised to the -1 power, theoretically it would be 1/π, but this isn't an option. Thus, the answer based on the provided options and likely intent of the question is d) π.
Step-by-step explanation:
The question is asking to find the exact value of cos⁻¹(-1) raised to the power of -1. The function cos⁻¹(-1) represents the angle whose cosine is -1. The cosine of an angle is equal to -1 at an angle of π radians (or 180 degrees). Therefore, cos⁻¹(-1) = π. Since we are asked for the value of this expression to the power of -1, we have π raised to the power of -1, which simplifies to 1/π.
However, this is not one of the options provided in the question, indicating there might have been a typo or misunderstanding. Given the options a) 0, b) 1, c) Undefined, and d) π, the closest correct answer is d) π, assuming the question was intended to find the value of cos⁻¹(-1) without the exponent of -1.