8\ \frac{\ \ }{ }\ \left(-4\right)\ \cdot\ \left(-6\right)^{2}\ +7

Let's break down the expression step by step:

\[
8\ \frac{\ \ }{ }\ \left(-4\right)\ \cdot\ \left(-6\right)^{2}\ +7
\]

It seems like there might be some missing components, especially in the fraction part \( \frac{\ \ }{ } \). However, I'll solve what is visible:

1. **Evaluate the exponentiation**:  
   \[
   (-6)^2 = (-6) \times (-6) = 36
   \]

2. **Multiply by -4**:  
   \[
   -4 \times 36 = -144
   \]

3. **Multiply by 8**:  
   Since it's unclear what the 8 is multiplying (due to the missing fraction), we'll assume it's multiplying the result from the previous step:
   \[
   8 \times (-144) = -1152
   \]

4. **Add 7**:  
   \[
   -1152 + 7 = -1145
   \]

So, the expression evaluates to \(-1145\), assuming the missing fraction is not affecting the calculation.

If you'd like further clarification or have more details, let me know!

---

Would you like details on how exponents work or have any questions?

Here are 5 related questions to explore further:

1. How do you handle fractions within an expression like this?
2. What are the rules for multiplying negative numbers?
3. How do exponents affect negative bases?
4. What is the order of operations (PEMDAS) in mathematics?
5. How do you simplify complex expressions?

**Tip:** Always carefully identify each part of an expression before solving it, especially if there are missing components!

Learn how to evaluate the expression 8(-4) × (-6)^2 + 7 step by step. This problem covers key algebraic concepts like exponentiation, multiplying negative numbers, and following the order of operations. Suitable for students in Grades 7-9.

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