https://file.aiquickdraw.com/mathbot/file/1726018134886ll1fx65m.jpg

The question presented in the image asks for the simplified form of \( 8^2 \). Let's break it down:

Given: 
\[
8^2
\]

Simplify:
\[
8^2 = 8 \times 8 = 64
\]

Now, we check which of the provided options corresponds to 64:
- Option A: \( 2^4 = 16 \)
- Option B: \( 2^5 = 32 \)
- Option C: \( 2^6 = 64 \)
- Option D: \( 3^2 = 9 \)
- Option E: \( 3^4 = 81 \) (Note: This option was mentioned incorrectly in the description.)

The correct answer is **Option C: \( 2^6 \)**, because \( 2^6 = 64 \).

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

1. How do you simplify powers of numbers?
2. What is the process for converting numbers into powers of smaller bases?
3. Can you explain the laws of exponents in more detail?
4. How do you recognize patterns in powers of 2 and 3?
5. What are common mistakes when simplifying exponential expressions?

**Tip:** Always check if a number can be rewritten as a power of another base (like 2 or 3) when simplifying exponents!

Discover how to simplify 8^2 in this detailed explanation, covering key concepts such as exponentiation and the laws of exponents. This problem is suitable for students in Grades 7-9.

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