Find the coefficient of `z^(3)` in `-7xy^(2)z^(3)`.

Options

A. `xy^(2)`
B. `-7`
C. `7xy^(2)`
D. `-7xy^(2)`

Answer

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

### Step 1: Identify the term containing \( z^3 \)
In the expression \( -7xy^2z^3 \), we need to locate the term that includes \( z^3 \).

### Step 2: Isolate the coefficient
The term \( -7xy^2z^3 \) can be broken down into its components:
- The coefficient of \( z^3 \) is the part of the term that multiplies \( z^3 \) without including \( z \) itself.

### Step 3: Write down the coefficient
From the term \( -7xy^2z^3 \), we can see that the coefficient of \( z^3 \) is \( -7xy^2 \).

### Step 4: Conclusion
Thus, the coefficient of \( z^3 \) in the expression \( -7xy^2z^3 \) is \( -7xy^2 \).

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

---