Simplify: (x^(a-b))^(a+b) / (x^(a+b))^(a-b).

A0

B1

Cx

Dx^2

Explanation

Numerator = x^(a^2 – b^2). Denominator = x^(a^2 – b^2). Division gives x^(a^2 – b^2 – (a^2 – b^2)) = x^0 = 1.

Exam Relevance

Topic: Algebra
Subtopic: Indices

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