Multiply Both Sides 3

Transitive Property of Equality Variation 1

Multiplication Substitution

Power Symmetry

Logofpower

Transitive Property of Equality Variation 2

Transitive Property Application 2

Converseofpowersubstitution

Equality Example

Addition Substitution

Logproductrule

Proof: Power Symmetry

Let's prove the following theorem:

(x^m) ⋅ (xⁿ) = x^{(m + n)}

Proof:

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Proof Table

#	Claim	Reason
1	x^{(m + n)} = (x^m) ⋅ (xⁿ)	x^{(m + n)} = (x^m) ⋅ (xⁿ) (Power By M and N)
2	(x^m) ⋅ (xⁿ) = x^{(m + n)}	if x^{(m + n)} = (x^m) ⋅ (xⁿ), then (x^m) ⋅ (xⁿ) = x^{(m + n)} (Symmetric Property of Equality)

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