Simplify: (x^b / x^c)^(b+c) * (x^c / x^a)^(c+a) * (x^a / x^b)^(a+b).

A0

B1

Cx

Dx^(a+b+c)

Explanation

Expression = x^((b-c)(b+c)) * x^((c-a)(c+a)) * x^((a-b)(a+b)) = x^(b^2-c^2 + c^2-a^2 + a^2-b^2) = x^0 = 1.

Exam Relevance

Topic: Algebra
Subtopic: Indices

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