Express `6xxpxxqxxrxxpxxpxxp` in the exponential form :

Options

A. `6(p^(4)+q+r)`
B. `6xx4pxxqxxr`
C. `6p^(2)qr`
D. none of these

Answer

To express the expression \( 6 \times p \times q \times r \times p \times p \times p \) in exponential form, we can follow these steps:

### Step 1: Identify the constants and variables
The expression consists of a constant (6) and variables (p, q, r).

### Step 2: Count the occurrences of each variable
- The constant is 6.
- The variable \( p \) appears 4 times.
- The variable \( q \) appears 1 time.
- The variable \( r \) appears 1 time.

### Step 3: Write the variables in exponential form
For the variable \( p \), since it appears 4 times, we can express it as \( p^4 \). The variables \( q \) and \( r \) will remain as they are since they each appear only once.

### Step 4: Combine everything into the final expression
Now we can combine the constant and the variables into a single expression:
\[ 6 \times p^4 \times q^1 \times r^1 \]
Since \( q^1 \) and \( r^1 \) can be written simply as \( q \) and \( r \), we can simplify this to:
\[ 6p^4qr \]

### Final Answer
Thus, the expression \( 6 \times p \times q \times r \times p \times p \times p \) in exponential form is:
\[ 6p^4qr \]