Algebra-1

Question Analysis
This question assesses the student's ability to recognize when an even root of a negative number is undefined in the real number system.

Key Concept Explanation
Even roots, such as fourth roots, are only defined for nonnegative bases in the real number system. A negative base with an even root index results in an undefined expression.

Step-by-step Solution
1. Identify the base and the root: Base = -625, Root index = 4 (even)
2. Check the base: The base is negative (-625) and the root index is even (4).
3. Apply the domain rest...