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The value of x^(a-b) * x^(b-c) * x^(c-a) for any non-zero x is
Ax^a
B1
C0
Dx
Answer & Solution
Correct answer: B. 1
1. Apply x^p * x^q = x^(p+q) repeatedly.
2. Sum exponents: (a - b) + (b - c) + (c - a).
3. Simplifying: a - b + b - c + c - a = 0.
4. So the product is x^0 = 1.
_Source: ICAI BoS Foundation Paper 3, Ch 1 Unit III 'Indices', p.13 properties_
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