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Prove that if f(n) = (g(n)), then f(n)^ 2 = (g(n)^ 2 ). You may assume that f(n) and g(n) are positive everywhere. The ^2

Prove that if f(n) = (g(n)), then f(n)^ 2 = (g(n)^ 2 ). You may assume that f(n) and g(n) are positive everywhere.

The ^2 indicates that the function is squared. Please provide a formal proof.

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