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

Answer

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

### Step 1: Identify the expression
The given expression is:
\[ -7xy^2z^3 \]

### Step 2: Understand what a coefficient is
A coefficient is a numerical factor in a term. In the expression, the coefficient is the number that is multiplied by the variables.

### Step 3: Rewrite the expression
We can express the term \(-7xy^2z^3\) in a product form:
\[ -7 \cdot x \cdot y \cdot y \cdot z \cdot z \cdot z \]

### Step 4: Isolate the coefficient of \(xy\)
To find the coefficient of \(xy\), we need to focus on the terms that include \(x\) and \(y\):
- The term \(xy\) appears in the expression, and we need to consider the remaining factors.

### Step 5: Write down the remaining factors
The remaining factors after isolating \(xy\) are:
\[ -7 \cdot y \cdot z \cdot z \cdot z = -7y z^3 \]

### Step 6: Identify the coefficient of \(xy\)
Thus, the coefficient of \(xy\) in the expression \(-7xy^2z^3\) is:
\[ -7y \]

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

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