Proof: Power Symmetry 2

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	(xm)n = x(m ⋅ n)	(xm)n = x(m ⋅ n) (Power of a Power)
2	x(m ⋅ n) = (xm)n	if (xm)n = x(m ⋅ n), then x(m ⋅ n) = (xm)n (Symmetric Property of Equality)

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