https://file.aiquickdraw.com/mathbot/file/1725382488424nuseyymz.jpg

Let's solve the two problems shown in the image step by step:

### Problem 1: \( 3 \div 3 + 4^2 \times 2 \)

1. **Evaluate the exponent:** 
   \[
   4^2 = 16
   \]
2. **Perform the division:**
   \[
   3 \div 3 = 1
   \]
3. **Multiply:**
   \[
   16 \times 2 = 32
   \]
4. **Add:**
   \[
   1 + 32 = 33
   \]

So, the answer to the first problem is \( \boxed{33} \).

### Problem 2: \( \frac{10}{5} + 2^3 + (3 - 1 + 4) \)

1. **Evaluate the division:**
   \[
   \frac{10}{5} = 2
   \]
2. **Evaluate the exponent:**
   \[
   2^3 = 8
   \]
3. **Evaluate the expression inside the parentheses:**
   \[
   3 - 1 + 4 = 6
   \]
4. **Add everything together:**
   \[
   2 + 8 + 6 = 16
   \]

So, the answer to the second problem is \( \boxed{16} \).

Would you like more details on these steps or explanations? Here are some related questions you might find useful:

1. How do you apply the order of operations in complex expressions?
2. What are some common mistakes to avoid when solving similar problems?
3. Can you explain why exponents are evaluated before multiplication in the order of operations?
4. What are some tips for simplifying expressions with multiple operations?
5. How do parentheses change the order in which you solve an equation?

**Tip:** Always remember the order of operations using PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1) 3 ÷ 3 + 4^2 × 2 = ?
2) 10/5 + 2^3 + (3 - 1 + 4) = ?

Learn how to solve arithmetic expressions involving division, multiplication, exponents, and parentheses using the order of operations. This step-by-step guide is suitable for students in Grades 6-8.

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