Math Problem Statement

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

Solution

Let's break down the expression step by step:

8    (4)  (6)2 +78\ \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)×(6)=36(-6)^2 = (-6) \times (-6) = 36

  2. Multiply by -4:
    4×36=144-4 \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×(144)=11528 \times (-144) = -1152

  4. Add 7:
    1152+7=1145-1152 + 7 = -1145

So, the expression evaluates to 1145-1145, 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!

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Multiplication of Negative Numbers
Order of Operations (PEMDAS)

Formulas

a^b = a × a × ... (b times)
(-a) × (-b) = ab

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 7-9