https://file.aiquickdraw.com/mathbot/file/17266906555802p0fpur1.jpg

The expression shown in the image is:

\[
-6w^3 \times (-2w^5)
\]

To multiply this expression, follow these steps:

1. **Multiply the constants**: 
   \[
   -6 \times -2 = 12
   \]

2. **Apply the product rule for exponents**: 
   When multiplying terms with the same base, add the exponents. Here, we have \(w^3 \times w^5\), so:

   \[
   w^{3+5} = w^8
   \]

Now, combine the results:

\[
12w^8
\]

So, the simplified product is:

\[
12w^8
\]

Would you like more details or have any questions?

### Relative questions:
1. How do you handle multiplication of variables with different bases?
2. What happens if the exponents are negative?
3. Can you explain the product rule for exponents in more depth?
4. How do you multiply terms with fractional exponents?
5. How would you divide terms with exponents?

**Tip:** When multiplying powers of the same base, always remember to add the exponents.

Learn how to multiply expressions with exponents by applying the product rule. This example involves multiplying -6w^3 by -2w^5, which simplifies to 12w^8. Suitable for students in Grades 8-10.

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