In `-7xy^(2)z^(3)`. write down the coefficient of:
`-7z`

Answer

To find the coefficient of `-7z` in the expression `-7xy^2z^3`, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression `-7xy^2z^3`.

2. **Understand Coefficients**: A coefficient is a numerical factor in a term. In this case, we want to find the coefficient of `-7z`.

3. **Rewrite the Expression**: We can express `-7xy^2z^3` in a product form:
\[ -7xy^2z^3 = -7 \cdot x \cdot y \cdot y \cdot z \cdot z \cdot z \]

4. **Identify the Required Coefficient**: We need to find the coefficient of `-7z`. This means we are looking for all the other variables that are multiplied with `-7z` in the expression.

5. **Extract the Coefficient**: The term `-7z` can be paired with the remaining variables:
\[ -7z \cdot (xy^2z^2) \]
Here, `xy^2z^2` is the remaining part after factoring out `-7z`.

6. **Final Coefficient**: Therefore, the coefficient of `-7z` in the expression `-7xy^2z^3` is:
\[ xy^2z^2 \]

### Final Answer:
The coefficient of `-7z` in `-7xy^2z^3` is `xy^2z^2`.

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