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What is the expanded form of (3a)^3 without exponents?
3aaa
3a3a3a
9a^3
27a
The correct answer is: 3a3a3a
To find the expanded form of \( (3a)^3 \) without exponents, we first need to understand what the expression represents. The expression \( (3a)^3 \) indicates that we multiply \( 3a \) by itself three times: \[ (3a) \times (3a) \times (3a) \] When you perform this multiplication, you can break it down step by step. Start with the numerical part: 1. Multiply the coefficients: \( 3 \times 3 \times 3 = 27 \). 2. Next, consider the variable part, which involves multiplying \( a \) three times. This is simply: \[ a \times a \times a = aaa \] Putting these two parts together, you get: \[ (3a)^3 = 27 \times aaa \] This translates to \( 27aaa \), which is a way to express the product without using exponents. However, none of the options match this exact expression directly. The confusion may arise from the fact that the correct format in the choices requires accounting for how the variable \( a \) is written in terms of its repeated multiplication. The choice "3a