Question #6453296Fill in the Blank
Algebra-1
Question
Simplify the expression. The simplified result is ______ .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of even roots and negative exponents. It requires students to apply the exponent rules and recognize the domain restrictions for even roots.
This question tests the understanding of even roots and negative exponents. It requires students to apply the exponent rules and recognize the domain restrictions for even roots.
Key Concept Explanation
In the real number system, even roots of negative numbers are undefined. Therefore, if an expression involves an even root of a negative number, it is undefined.
In the real number system, even roots of negative numbers are undefined. Therefore, if an expression involves an even root of a negative number, it is undefined.
Step-by-step Solution
1. Identify the inner expression:
2. Check the base and the root: The base is -16, and the root is 4 (fourth root).
3. Apply the domain restriction: Since the base is negative and the root is even, the expression
1. Identify the inner expression:
2. Check the base and the root: The base is -16, and the root is 4 (fourth root).
3. Apply the domain restriction: Since the base is negative and the root is even, the expression
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