Use the appropriate property to clear the parentheses. $$ (-4 x y z)^{3}=\square $$

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To clear the parentheses in the expression $$ (-4 x y z)^{3} $$, you can use the **Power of a Product Property**. This property states that when a product is raised to an exponent, each factor inside the product is raised to that exponent individually:

$$
(a \cdot b \cdot c)^n = a^n \cdot b^n \cdot c^n
$$

Applying this to your expression:

$$
(-4 x y z)^{3} = (-4)^{3} \cdot x^{3} \cdot y^{3} \cdot z^{3}
$$

Simplifying further:

$$
(-4)^{3} = -64
$$

So, the final expanded form is:

$$
-64 \, x^{3} \, y^{3} \, z^{3}
$$

**Answer:**

$$
(-4 x y z)^{3} = (-4)^{3}\, x^{3}\, y^{3}\, z^{3} = -64\, x^{3} y^{3} z^{3}
$$
$$ (-4 x y z)^{3} = -64 x^{3} y^{3} z^{3} $$

Use the appropriate property to clear the parentheses. \[ (-4 x y z)^{3}=\square \]

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