What is the value of (xᵃ/xᵇ)^(a + b) × (xᵇ/xᶜ)^(b + c) × (xᶜ/xᵃ)^(c + a)?
Correct answer A. 1
Explanation
Each factor becomes x^(a² − b²), x^(b² − c²) and x^(c² − a²). The total index is a² − b² + b² − c² + c² − a² = 0, so the value is x⁰ = 1.
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