https://file.aiquickdraw.com/mathbot/file/1726548447793w8m8s4c1.jpg

The expression in the image is:

\[
(2ab^2)(3a^2)
\]

To simplify this, we multiply the constants and the variables separately:

1. **Multiply the constants**:  
   \( 2 \times 3 = 6 \)

2. **Multiply the variables**:
   - For \(a\): \(a \times a^2 = a^3\) (add exponents since the bases are the same).
   - For \(b\): \(b^2\) remains as it is (there is no other \(b\) term in the second expression).

Thus, the simplified expression is:

\[
6a^3b^2
\]

Would you like further details or explanations on any part of the process? 

Here are 5 related questions for you to explore:
1. How would you simplify \((4a^2b)(5ab^3)\)?
2. Can you factor the expression \(6a^3b^2\)?
3. What happens if you divide \(6a^3b^2\) by \(2a^2b\)?
4. How do you handle multiplication when both terms have negative coefficients?
5. What is the rule for adding exponents when multiplying powers of the same base?

**Tip**: When multiplying variables with exponents, simply add the exponents as long as the base is the same.

Learn how to simplify the expression (2ab^2)(3a^2) by multiplying constants and variables. This solution explores key algebraic concepts, such as multiplying variables with exponents and applying the laws of exponents, suitable for students in Grades 6-8.

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