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Let's solve the given expression:

You are asked to multiply:

\[
(3x^2 y^3) (8x^3 y)
\]

### Step-by-step breakdown:

1. **Multiply the constants**: 
   \[
   3 \times 8 = 24
   \]

2. **Multiply the powers of \(x\)**:
   \[
   x^2 \times x^3 = x^{2+3} = x^5
   \]

3. **Multiply the powers of \(y\)**:
   \[
   y^3 \times y^1 = y^{3+1} = y^4
   \]

### The final result:
\[
24x^5 y^4
\]

Now, comparing this with the answer choices:

- **C. \(24x^5 y^4\)** is the correct answer.

Would you like any more details or have any further questions? 

Here are 5 related questions you can explore:
1. How do you multiply two powers with the same base?
2. What happens when you multiply two constants?
3. Can you explain the rule for adding exponents when multiplying?
4. How do you simplify expressions with variables and powers?
5. What is the difference between multiplying and dividing powers?

**Tip**: Always remember to add exponents when multiplying variables with the same base!

Learn how to multiply polynomials with the expression (3x^2 y^3) (8x^3 y). This detailed solution covers the multiplication of constants, addition of exponents, and polynomial multiplication concepts, suitable for students in Grades 8-10.

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