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

Answer

To find the coefficient of \(-xy^2\) 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 the term \(-7xy^2z^3\), the coefficient is the product of the constants and variables that multiply together.

3. **Extract the Coefficient of \(-xy^2\)**: We need to find the coefficient of the term \(-xy^2\). This means we will consider the expression \(-7xy^2z^3\) and focus on the part that includes \(-xy^2\).

4. **Remove \(-xy^2\)**: When we take out \(-xy^2\) from \(-7xy^2z^3\), we are left with the remaining part of the expression. The remaining part is \(z^3\).

5. **Combine the Coefficients**: The coefficient of \(-xy^2\) in the expression \(-7xy^2z^3\) is thus \(-7z^3\).

### Final Answer:
The coefficient of \(-xy^2\) in the expression \(-7xy^2z^3\) is \(-7z^3\).

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