Question #6453244Fill in the Blank
Algebra-1
Question
Simplify the expression. The result is.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to identify when an even root of a negative number is undefined in the real number system.
This question tests the student's ability to identify 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.
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 = -1024, Root index = 4 (even)
2. Check the base: The base is negative (-1024) and the root index is even (4).
3. Apply the domain restr...
1. Identify the base and the root: Base = -1024, Root index = 4 (even)
2. Check the base: The base is negative (-1024) and the root index is even (4).
3. Apply the domain restr...
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