Question #6450602Fill in the Blank
Algebra-2
Question
Simplify the expression , where : ____________.
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's ability to multiply cube roots and simplify the result, ensuring the radicands are non-negative.
This problem evaluates the student's ability to multiply cube roots and simplify the result, ensuring the radicands are non-negative.
Key Concept Explanation
The rule for multiplying radical expressions with the same index is: . Here, both radicals are cube roots (index = 3).
The rule for multiplying radical expressions with the same index is: . Here, both radicals are cube roots (index = 3).
Step-by-step Solution
1. Confirm the conditions: Both indices are 3, and the radicands are non-negative since .
2. Apply the multiplication property:
3. Simplify the radicand:
1. Confirm the conditions: Both indices are 3, and the radicands are non-negative since .
2. Apply the multiplication property:
3. Simplify the radicand:
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