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I see that you've uploaded a sheet with various mathematical expressions. Let me go through and solve them for you. I'll show the detailed steps for each calculation.

### 1. \( 3 \times (2 \times 4^3) + 4 \)
- \( 4^3 = 64 \)
- \( 2 \times 64 = 128 \)
- \( 3 \times 128 = 384 \)
- \( 384 + 4 = 388 \)

**Answer: 388**

### 2. \( 4^3 + 2 - 1 \)
- \( 4^3 = 64 \)
- \( 64 + 2 = 66 \)
- \( 66 - 1 = 65 \)

**Answer: 65**

### 3. \( (5 \times 3) \times 1 + 5 \)
- \( 5 \times 3 = 15 \)
- \( 15 \times 1 = 15 \)
- \( 15 + 5 = 20 \)

**Answer: 20**

### 4. \( 7^2 - 2^3 - 6 \)
- \( 7^2 = 49 \)
- \( 2^3 = 8 \)
- \( 49 - 8 = 41 \)
- \( 41 - 6 = 35 \)

**Answer: 35**

### 5. \( (5^3 + 7) \times 2 \)
- \( 5^3 = 125 \)
- \( 125 + 7 = 132 \)
- \( 132 \times 2 = 264 \)

**Answer: 264**

### 6. \( 4 - (9 + 2^2 \div 2) \)
- \( 2^2 = 4 \)
- \( 4 \div 2 = 2 \)
- \( 9 + 2 = 11 \)
- \( 4 - 11 = -7 \)

**Answer: -7**

### 7. \( 6 - (9 + 8^2 \times 1^3) + 5 \)
- \( 8^2 = 64 \)
- \( 1^3 = 1 \)
- \( 64 \times 1 = 64 \)
- \( 9 + 64 = 73 \)
- \( 6 - 73 = -67 \)
- \( -67 + 5 = -62 \)

**Answer: -62**

### 8. \( (2 \div 4 \times 8) \)
- \( 2 \div 4 = 0.5 \)
- \( 0.5 \times 8 = 4 \)

**Answer: 4**

### 9. \( 8 - (3 + 4^3 \times 5) \)
- \( 4^3 = 64 \)
- \( 64 \times 5 = 320 \)
- \( 3 + 320 = 323 \)
- \( 8 - 323 = -315 \)

**Answer: -315**

### 10. \( 5 \times ((2^3 - 8) \times 5) \)
- \( 2^3 = 8 \)
- \( 8 - 8 = 0 \)
- \( 0 \times 5 = 0 \)
- \( 5 \times 0 = 0 \)

**Answer: 0**

### 11. \( (9 \times 9 + 5) \)
- \( 9 \times 9 = 81 \)
- \( 81 + 5 = 86 \)

**Answer: 86**

### 12. \( (1 + 4 - 4) \)
- \( 1 + 4 = 5 \)
- \( 5 - 4 = 1 \)

**Answer: 1**

### 13. \( 5 \times (4 + 1^2 + 8) \)
- \( 1^2 = 1 \)
- \( 4 + 1 + 8 = 13 \)
- \( 5 \times 13 = 65 \)

**Answer: 65**

### 14. \( (5 - 8^2 + 6 - 1) \)
- \( 8^2 = 64 \)
- \( 5 - 64 = -59 \)
- \( -59 + 6 = -53 \)
- \( -53 - 1 = -54 \)

**Answer: -54**

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If you need further explanations on any of the problems or have any questions, feel free to ask! Here are 5 related questions you might want to explore:

1. How does the order of operations affect the outcome of complex expressions?
2. What are the rules for dealing with negative exponents?
3. Can you think of any real-world applications for solving equations with powers?
4. How would adding parentheses change the outcomes in some of the examples?
5. What is the role of multiplication and division in simplifying expressions with exponents?

**Tip:** Always remember to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

Solve various mathematical expressions involving exponents, multiplication, and addition/subtraction.

This page provides detailed solutions for various math expressions involving exponents, multiplication, and other operations. Suitable for students in Grades 7-9.

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