Algebra-1

Question Analysis
This question tests the understanding of even roots of negative numbers, specifically focusing on the definition and properties of even roots in the real number system.

Key Concept Explanation
In the real number system, even roots (such as sixth roots) are only defined for nonnegative bases. If the base is negative and the root index is even, the expression is undefined.

Step-by-step Solution
1. Identify the base and the root: The base is -27 and the root is .
2. Check the base: The base is negative (-27).
3. Check the root index: The root index is even (6).
4. Apply the domain restriction: Since the base is negative and the root index is even, the expression is undefined in the real number system.
5. Final answer: The expression

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