https://file.aiquickdraw.com/mathbot/file/1726082378974me0pldu8.jpg

In the image, two math problems are visible. I'll solve them below:

1. **Problem 1.35:**
   \[
   2^3 \cdot 2^5
   \]
   Using the property of exponents, \( a^m \cdot a^n = a^{m+n} \), we get:
   \[
   2^3 \cdot 2^5 = 2^{3+5} = 2^8 = 256
   \]
   **Solution:** \( 256 \)

2. **Problem 1.36:**
   \[
   3^2 \cdot 3^3
   \]
   Again, applying the property of exponents:
   \[
   3^2 \cdot 3^3 = 3^{2+3} = 3^5 = 243
   \]
   **Solution:** \( 243 \)

Would you like further explanations or details? Here are some related questions:

1. How do you simplify expressions involving exponents?
2. What are the rules for multiplying powers with the same base?
3. How do negative exponents work?
4. Can you explain how powers of a number grow exponentially?
5. How would you approach expressions with different bases?

**Tip:** Always remember to apply exponent rules, like \( a^m \cdot a^n = a^{m+n} \), to simplify expressions quickly.

Simplify the expressions 2^3 ⋅ 2^5 and 3^2 ⋅ 3^3.

Learn how to simplify exponent expressions like 2^3 ⋅ 2^5 and 3^2 ⋅ 3^3 using the rule a^m ⋅ a^n = a^(m+n). Suitable for students in Grades 6-8, this guide explains the multiplication of powers in detail.

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