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The mathematical property being used in the equation 

\[
\left[(-4) \left(\frac{1}{4}\right)\right] z = -4 \left[\left(\frac{1}{4}\right) z \right]
\]

is the **Associative Property of Multiplication**, which allows us to rearrange the parentheses when multiplying several numbers without changing the result. 

In this case, the operations involving \((-4)\), \(\frac{1}{4}\), and \(z\) have been rearranged, demonstrating the associative nature of multiplication.

Thus, the correct answer would be:

**c. Asociativa del producto** (Associative Property of Multiplication).

Would you like further clarification on this concept?

Here are five related questions to deepen your understanding:
1. What is the difference between associative and commutative properties in multiplication?
2. Can the associative property be applied to addition?
3. How does the distributive property differ from the associative property?
4. How would the equation change if the operation involved addition instead of multiplication?
5. Are there specific cases where the associative property does not hold?

**Tip:** In multiplication, the associative property allows for flexibility in grouping terms, which can simplify complex expressions.

La propiedad que se utiliza en la siguiente operación [(−4)(1/4)]z = −4[(1/4)z]:

Learn how the associative property of multiplication is applied in the operation [(−4)(1/4)]z = −4[(1/4)z]. This lesson covers algebraic concepts such as rearranging multiplication terms without changing the result, suitable for Grades 6-8.

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