Use the Associative Property to determine which expressions are equivalent.(1 point)

To determine which expressions are equivalent using the Associative Property, we will analyze the first expression:

1. **Original Expression:**
\(-3 \cdot (4x \cdot -2) \cdot -6y\)

The Associative Property states that the way numbers are grouped in multiplication does not change the product. So, we can rearrange the grouping:

2. **Using Associative Property:**
\[-3 \cdot (4x \cdot -2) \cdot -6y = (-3 \cdot 4x) \cdot (-2 \cdot -6y)\]

This matches exactly with the first expression in the list of responses, which states:
\(-3 \cdot (4x \cdot -2) \cdot -6y = (-3 \cdot 4x)(-2 \cdot -6y)\)

Thus, the first expression is equivalent based on the Associative Property.

Now, let's look at the other provided expressions:

3. **Second Expression:**
\(-3 \cdot (4x \cdot -2) \cdot -6y = -7xy\) — This is likely not equivalent as it simplifies the left side in a specific way.

4. **Third Expression:**
\(-3 \cdot (4x \cdot -2) \cdot -6y = (-3 \cdot 4x) \cdot -2 \cdot -6y\) — Here, the grouping is not consistent, and it's not in line with the Associative Property.

5. **Fourth Expression:**
\(-3 \cdot (4x \cdot -2) \cdot -6y = 18 - 8x\) — This also likely simplifies incorrectly.

**Conclusion:**
The only equivalent expression based on the Associative Property is:
**−3⋅(4x⋅−2)⋅−6y=(−3⋅4x)(−2⋅−6y)**.