https://file.aiquickdraw.com/mathbot/file/17265492430869sgdn31n.jpg

To solve the given expression \((8x^2y^5)(3xy^4)\), let's break down the multiplication step-by-step:

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

2. **Multiply the \(x\) Terms:**
   Since the bases are the same, add the exponents:
   \[
   x^2 \times x^1 = x^{2+1} = x^3
   \]

3. **Multiply the \(y\) Terms:**
   Again, add the exponents:
   \[
   y^5 \times y^4 = y^{5+4} = y^9
   \]

Putting it all together, the expression simplifies to:
\[
(8x^2y^5)(3xy^4) = 24x^3y^9
\]

The solution provided in the image is correct:
\[
24x^3y^9
\]

Would you like further details or have any questions? 

Here are some related questions to explore:
1. How do you multiply expressions with different coefficients?
2. What is the rule for multiplying exponents with the same base?
3. How do you simplify expressions with multiple variables?
4. What happens if the variables have different bases when multiplying?
5. How do you handle division of expressions with exponents?

**Tip:** When multiplying variables with exponents, remember to add the exponents if the base is the same.

Learn how to simplify the multiplication of two monomials (8x^2 y^5) and (3xy^4). The solution involves multiplying the coefficients, adding exponents for variables with the same base, and applying exponent rules. This problem is suitable for students in Grades 8-10.

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