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.