https://file.aiquickdraw.com/mathbot/file/1729254353524wrwo0zh6.jpg

I can see the image contains several mathematical problems. I'll solve each one step by step.

### 15. \( 7^2 \)
\[
7^2 = 49
\]

### 16. \( 14^3 \)
\[
14^3 = 14 \times 14 \times 14 = 2744
\]

### 17. \( 2^6 \)
\[
2^6 = 64
\]

### 18. \( 35 - 3 \cdot 8 \)
\[
35 - 3 \cdot 8 = 35 - 24 = 11
\]

### 19. \( 18 = 9 + 2 \cdot 6 \)
\[
9 + 2 \cdot 6 = 9 + 12 = 21 \quad \text{so} \quad 18 \neq 21 \quad \text{(the equation is false)}.
\]

### 20. \( 10 + 8^3 \div 16 \)
First, evaluate \( 8^3 \) and then perform the division:
\[
8^3 = 512
\]
\[
512 \div 16 = 32
\]
Now add 10:
\[
10 + 32 = 42
\]

Would you like more details or explanations for any specific step?

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Here are five related questions to explore:
1. What is \( 5^3 \)?
2. Solve \( 6^4 \div 9 + 8 \).
3. Expand \( (2a + 3)^2 \).
4. Evaluate \( 16^2 - 15^2 \).
5. Solve for \( x \) if \( x^2 + 4 = 20 \).

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving expressions!

Solve various exponent and arithmetic equations such as 7^2, 35 - 3 * 8, 10 + 8^3 ÷ 16.

This page provides step-by-step solutions to math problems involving exponents, multiplication, and order of operations. Problems like 7^2, 10 + 8^3 ÷ 16, and others are solved following PEMDAS rules, suitable for students in Grades 6-8.

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