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The expression (2a)³ simplifies to 8a³ by cubing both the numerical coefficient (2) and the variable (a).

A) Distributive Property
B) Associative Property
C) Commutative Property
D) Power of a Product Rule

User Imrank
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Final answer:

The simplification of the expression (2a)^3 to 8a^3 is done by applying the Power of a Product Rule, which allows the exponent to be distributed to both the coefficient and the variable.

Step-by-step explanation:

The correct answer to the question is D) Power of a Product Rule. The Power of a Product Rule states that when an entire product is raised to a power, you can distribute the exponent to both the coefficient and the variable. Thus, when cubing the expression (2a)3, we separately cube the numerical coefficient 2 and the variable a, which results in 8a3. In other words, (23)(a3) simplifies to 8a3.

User Lien
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