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

Answer

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

### Step 1: Identify the expression
The given expression is:
\[ -5p^2q^3r^4 \]

### Step 2: Write down the expression for \( pqr \)
We need to find the coefficient of \( pqr \). This means we want to express \( pqr \) in terms of the variables in the original expression.

### Step 3: Rewrite \( p^2 \), \( q^3 \), and \( r^4 \)
We can rewrite the powers of \( p \), \( q \), and \( r \) in the expression:
\[ p^2 = p \cdot p \\ q^3 = q \cdot q \cdot q \\ r^4 = r \cdot r \cdot r \cdot r \]

### Step 4: Cancel out the common terms
Now, we can express \( pqr \) as \( p \cdot q \cdot r \). To find the coefficient, we can cancel one \( p \), one \( q \), and one \( r \) from the original expression:
\[ -5p^2q^3r^4 = -5(p \cdot p)(q \cdot q \cdot q)(r \cdot r \cdot r \cdot r) \]
When we cancel one \( p \), one \( q \), and one \( r \), we are left with:
\[ -5p^{2-1}q^{3-1}r^{4-1} = -5p^1q^2r^3 \]

### Step 5: Identify the coefficient
The remaining expression after cancellation is:
\[ -5pq^2r^3 \]
Thus, the coefficient of \( pqr \) is:
\[ -5 \]

### Final Answer
The coefficient of \( pqr \) in the expression \( -5p^2q^3r^4 \) is:
\[ \boxed{-5} \]