In `-5p^(2)q^(3)r^(4)`, write down the coefficient of :
`5q^(3)r`

Answer

To find the coefficient of \(5q^3r\) in the expression \(-5p^2q^3r^4\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the expression and the term**: We start with the expression \(-5p^2q^3r^4\) and we want to find the coefficient of the term \(5q^3r\).

2. **Write the term in expanded form**: The term \(5q^3r\) can be expressed as \(5q^3 \cdot r^1\).

3. **Divide the expression by the term**: To find the coefficient, we can divide the entire expression by \(5q^3r\):
\[ \frac{-5p^2q^3r^4}{5q^3r} \]

4. **Simplify the division**: When we perform the division, we can cancel out the common terms:
- The \(5\) in the numerator and denominator cancels out.
- The \(q^3\) in the numerator and denominator cancels out.
- The \(r\) in the denominator cancels with one \(r\) in the numerator, leaving \(r^3\) in the numerator.

This gives us:
\[ -p^2r^3 \]

5. **Identify the coefficient**: The remaining expression \(-p^2r^3\) indicates that the coefficient of the term \(5q^3r\) in the original expression \(-5p^2q^3r^4\) is \(-p^2r^3\).

### Final Answer:
The coefficient of \(5q^3r\) in the expression \(-5p^2q^3r^4\) is \(-p^2r^3\).