Algebra-1

Question Analysis
This question tests the understanding of even roots and negative exponents, specifically focusing on the domain restriction for even roots in the real number system.

Key Concept Explanation
Even roots (like square roots, fourth roots, etc.) are only defined for nonnegative bases in the real number system. If the base is negative and the root index is even, the expression is undefined in real numbers.

Step-by-step Solution
1. Identify the base and the root index: Base = -125, Root index = 4 (even).
2. Check the base: The base is -125, which is negative.
3. Determine the validity: Since the base is negativ...