To calculate \(4^8\), we multiply 4 by itself eight times:

\[
4^8 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4
\]

Breaking it down step-by-step:

\[
4^2 = 16 \quad (\text{since } 4 \times 4 = 16)
\]

\[
4^4 = 16 \times 16 = 256
\]

\[
4^8 = 256 \times 256 = 65536
\]

Therefore:

\[
4^8 = 65536
\]

Would you like more details or have any questions?

Here are some related questions:

1. What is the result of \(4^9\)?
2. How do you calculate powers of other numbers like \(3^5\) or \(5^4\)?
3. What is the value of \(2^{10}\)?
4. How does the value of \(4^n\) change as \(n\) increases?
5. What is the square root of \(4^8\)?

**Tip:** Using the property of exponents, \( (a^m)^n = a^{m \cdot n} \), can simplify calculations by breaking down powers into smaller, manageable components.

Learn how to calculate 4 to the power of 8 (4^8) step-by-step with a detailed explanation and example. This problem covers fundamental concepts of exponents and powers in mathematics. Suitable for students in Grades 5-7.

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