3 to the 2 power -4 to the 2 power +24 divided by 4

Let's solve the expression step by step:

The expression is:

\[
3^2 - 4^2 + \frac{24}{4}
\]

1. **Evaluate powers:**
   \[
   3^2 = 9 \quad \text{and} \quad 4^2 = 16
   \]

   So the expression becomes:
   \[
   9 - 16 + \frac{24}{4}
   \]

2. **Perform division:**
   \[
   \frac{24}{4} = 6
   \]

   Now the expression is:
   \[
   9 - 16 + 6
   \]

3. **Perform addition and subtraction:**
   \[
   9 - 16 = -7
   \]
   \[
   -7 + 6 = -1
   \]

Thus, the final result is:

\[
\boxed{-1}
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the result of \(5^2 - 6^2 + \frac{36}{6}\)?
2. How do you handle negative exponents?
3. What is the order of operations for solving complex expressions?
4. Can you explain how powers of negative numbers differ from powers of positive numbers?
5. How is division prioritized in expressions with multiple operations?

**Tip:** Always follow the order of operations, often remembered by PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Explore how to solve the mathematical expression 3^2 - 4^2 + 24 ÷ 4 step-by-step. This guide covers key arithmetic concepts like exponents, order of operations (PEMDAS), and basic algebra, suitable for students in Grades 5-7.

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