https://file.aiquickdraw.com/mathbot/file/1727578057148oi9s1sjj.jpg

Let's go through the questions one by one:

**a. \( 2^3 + 3^3 \)**

- \( 2^3 = 8 \)
- \( 3^3 = 27 \)

So, \( 2^3 + 3^3 = 8 + 27 = 35 \)

**b. \( 2 \cdot 3^2 \)**

- \( 3^2 = 9 \)
- \( 2 \cdot 9 = 18 \)

So, \( 2 \cdot 3^2 = 18 \)

**c. \( -2 \cdot 3^2 \)**

- \( 3^2 = 9 \)
- \( -2 \cdot 9 = -18 \)

So, \( -2 \cdot 3^2 = -18 \)

### Final answers:
a. \( 35 \)  
b. \( 18 \)  
c. \( -18 \)

Let me know if you'd like more detailed explanations!

### Related questions:
1. What is the general rule for exponents and multiplication?
2. How do we handle negative numbers when using exponents?
3. What is the difference between a positive and negative base when using exponents?
4. Can you explain why \( (-3)^2 \) is different from \( -(3^2) \)?
5. How does the order of operations (PEMDAS) affect exponentiation?

**Tip:** Always evaluate exponents first before performing addition, subtraction, or multiplication when following the order of operations.

Write as a single number with no exponents: a) 2^3 + 3^3, b) 2 * 3^2, c) -2 * 3^2

Learn how to solve exponent problems such as 2^3 + 3^3 and 2 * 3^2, including handling negative numbers. This guide breaks down exponent rules, addition, and multiplication using order of operations, suitable for Grades 6-8.

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