https://file.aiquickdraw.com/mathbot/file/172718618314112vgp2kv.jpg

The expression in the image is:

\[
4(-3) \times 9^2
\]

To simplify this, let's follow the steps:

1. Calculate \( 9^2 \):
   \[
   9^2 = 81
   \]

2. Now, multiply \( 4 \times (-3) \):
   \[
   4 \times (-3) = -12
   \]

3. Multiply the result by \( 81 \):
   \[
   -12 \times 81 = -972
   \]

Thus, the simplified result is:

\[
\boxed{-972}
\]

Would you like more details or have any other questions?

Here are five related questions you might consider:
1. How would the result change if the exponent was different?
2. How do negative numbers affect multiplication?
3. What if the base of the exponent was negative?
4. Can you apply the distributive property in similar expressions?
5. How would this expression be simplified if parentheses were placed differently?

**Tip:** Always apply exponents before multiplication when simplifying expressions.

Simplify the mathematical expression 4(-3) x 9^2 using basic rules of multiplication and exponents. This problem focuses on applying the order of operations and negative number multiplication, suitable for Grades 6-8.

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