Question #6453236Fill in the Blank
Algebra-1
Question
Simplify the expression:isin the real number system.
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of even roots and negative exponents, specifically focusing on the domain restrictions for even roots.
This question tests the understanding of even roots and negative exponents, specifically focusing on the domain restrictions for even roots.
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 index: Base = -4, Root index = 4 (even).
2. Check if the base is nonnegative: -4 is negative....
1. Identify the base and the root index: Base = -4, Root index = 4 (even).
2. Check if the base is nonnegative: -4 is negative....
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