Algebra Practice Test 2025 – The Complete Guide to Mastering Your Exam Success!

Question: 1 / 400

What is the expanded form of (3a)^3 without exponents?

3aaa

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

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9a^3

27a

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