Let's break down the expression step by step:

Given expression:
\[
2^3 \cdot 2^3 + 3^3
\]

### Step 1: Simplify each term.
- \(2^3 = 8\), so the expression becomes:
\[
8 \cdot 8 + 3^3
\]
- \(8 \cdot 8 = 64\), and \(3^3 = 27\).

### Step 2: Perform addition.
\[
64 + 27 = 91
\]

### Final Answer:
\[
91
\]

Would you like further explanation or more details?

Here are some related questions:
1. What is the general formula for multiplying powers with the same base?
2. How would the result change if we had \(2^4 \cdot 2^4 + 3^4\)?
3. How do exponents apply in real-world contexts like population growth?
4. What is the difference between \(a^m \cdot a^n\) and \(a^{m+n}\)?
5. Can you derive the cube of negative numbers and explain the result?

**Tip:** When multiplying powers with the same base, simply add the exponents. For example, \(a^m \cdot a^n = a^{m+n}\).

Learn how to simplify the expression 2³ · 2³ + 3³ with a step-by-step breakdown. This math problem involves applying the laws of exponents and basic arithmetic operations, making it suitable for students in Grades 6-8.

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