The Commutative Property of Multiplication states that the order of factors can be changed without affecting the product. In other words, for any numbers \(a\) and \(b\), \(a \times b = b \times a\).
Looking at the options provided:
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\(5(p+b) = 5p + 5b\) - This demonstrates the Distributive Property, not the Commutative Property.
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\(4(h^{12} + 7) = 4(7 + h^{12})\) - This also demonstrates the Distributive Property, as well as the Commutative Property of Addition but not specifically of Multiplication.
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\(3(x^{12} = y^{4}) = (x^{12} = y^{4}) \cdot 3\) - This does not correctly demonstrate the Commutative Property and looks incorrectly formatted.
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\(w^3 \cdot 8 = w^3 + 8\) - This is incorrect; it doesn’t demonstrate any property correctly.
None of the given options correctly illustrate the Commutative Property of Multiplication. An example would be something like \(3 \cdot 4 = 4 \cdot 3\).