CA Foundation P3 · Chapter 1 · Question 5 of 9
The value of (xᵃ/xᵇ)^(a+b) · (xᵇ/xᶜ)^(b+c) · (xᶜ/xᵃ)^(c+a) is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 1
Explanation
Each factor simplifies using (xᵃ/xᵇ)^(a+b) = x^((a−b)(a+b)) = x^(a² − b²). The product is x^((a² − b²) + (b² − c²) + (c² − a²)) = x⁰ = 1. Note x⁰ equals 1, not 0.
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