https://file.aiquickdraw.com/mathbot/file/1725825871390shb2buvz.jpg

The expression shown in the image is:

\[
\frac{(-12)^2}{-4} = 6
\]

Let's solve this step-by-step:

1. First, calculate \((-12)^2\):
   \[
   (-12)^2 = (-12) \times (-12) = 144
   \]

2. Now, divide \(144\) by \(-4\):
   \[
   \frac{144}{-4} = -36
   \]

So, the left side of the equation becomes \(-36\), but the right side of the equation is \(6\). This shows that the equation given is incorrect.

The correct equation should be:

\[
\frac{(-12)^2}{-4} = -36
\]

If you have any questions or would like further details, feel free to ask!

Here are 5 related questions you might want to explore:
1. How do you handle exponents with negative bases?
2. Why does squaring a negative number result in a positive value?
3. What happens if we change the denominator in a division problem with a negative number?
4. Can you explain the steps for simplifying expressions with exponents and division?
5. What is the difference between \((-12)^2\) and \(-12^2\)?

**Tip:** Always remember that squaring a negative number results in a positive value since multiplying two negatives gives a positive result.

Understand how to solve the expression (-12)^2 / -4 step-by-step. This problem covers exponents with negative numbers and division of positive values by negatives. Perfect for middle school students in Grades 6-8.

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