https://file.aiquickdraw.com/mathbot/file/1726849006089ehwps91l.jpg

The image you uploaded contains a division of expressions involving \( p \) and \( x \). Let's simplify this step-by-step.

The given expression is:

\[
\frac{21p^3 x^3}{-3x^2 p^2}
\]

### Step-by-step simplification:

1. **Divide the coefficients**:
   \[
   \frac{21}{-3} = -7
   \]

2. **Simplify powers of \( p \)**:
   Using the rule \( \frac{p^m}{p^n} = p^{m-n} \):
   \[
   \frac{p^3}{p^2} = p^{3-2} = p
   \]

3. **Simplify powers of \( x \)**:
   Using the same rule for \( x \):
   \[
   \frac{x^3}{x^2} = x^{3-2} = x
   \]

### Final simplified expression:
\[
-7px
\]

The correct answer is \(-7px\), which corresponds to one of the choices provided.

Would you like more details, or do you have any other questions? Here are five related questions you might find useful:

1. How do you apply the quotient rule for exponents in general?
2. What happens when the base is the same but the exponents differ in division?
3. How do you simplify expressions involving multiple variables?
4. How do negative coefficients affect algebraic simplifications?
5. What are some real-world applications of simplifying algebraic fractions?

**Tip**: Always simplify coefficients and variables separately, then combine results!

Learn how to simplify the algebraic expression 21p^3 x^3 ÷ (-3x^2 p^2) using exponent rules and coefficient simplification. This problem covers key algebraic concepts and is suitable for students in Grades 7-9.

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