Question Analysis
This question tests the understanding of even roots and negative exponents, specifically focusing on the restriction that even roots of negative numbers are undefined in the real number system.
Key Concept Explanation
In the real number system, even roots (such as square roots) are only defined for nonnegative bases. If the base is negative, the expression is undefined.
Step-by-step Solution
1. Identify the base and the root: The base is -400 and the root is a square root (index 2).
2. Check the base: Since the base is negative and the root is even, the expression is undefined in the real number system.
3. Final answer: The expression
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