Question #6453241Fill in the Blank
Algebra-1
Question
Simplify the expression. The result is.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of even roots of negative exponents and the domain restrictions in the real number system.
This question tests the understanding of even roots of negative exponents and the domain restrictions in the real number system.
Key Concept Explanation
In the real number system, even roots are only defined for nonnegative bases. If the base is negative and the root index is even, the expression is undefined.
In the real number system, even 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: Base = -27, Root index = 2 (even)
2. Check the base: The base is negative (-27) and the root index is even (2).
3. Apply the domain restriction: Since the base i...
1. Identify the base and the root: Base = -27, Root index = 2 (even)
2. Check the base: The base is negative (-27) and the root index is even (2).
3. Apply the domain restriction: Since the base i...
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