Question #6450725Fill in the Blank
Algebra-2
Question
Simplify the expression . The simplified form is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify a division of cube root expressions by recognizing and applying the basic formula for dividing radicals.
This problem assesses the ability to simplify a division of cube root expressions by recognizing and applying the basic formula for dividing radicals.
Key Concept Explanation
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.
Step-by-step Solution
1. Confirm conditions: Index = 3 (odd); radicands -16 ∈ ℝ, -2 ≠ 0; same index.
2. Apply division property:
1. Confirm conditions: Index = 3 (odd); radicands -16 ∈ ℝ, -2 ≠ 0; same index.
2. Apply division property:
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