Let's solve the given expression step by step:

The expression is:

$8^4 \times \frac{1}{8^3} \times 8^3 \div 8^2$

First, simplify the expression by applying the properties of exponents.

1. $8^4 \times \frac{1}{8^3} = 8^{4} \times 8^{-3} = 8^{4 - 3} = 8^{1} = 8$
2. $8 \times 8^3 = 8^{1+3} = 8^{4}$
3. $8^4 \div 8^2 = 8^{4 - 2} = 8^2$

Thus, the expression simplifies to:

$8^2 = 64$

So, the final answer is:

$\boxed{64}$

Would you like to see more details or have any questions?

Here are 8 related questions:

1. What are the basic properties of exponents?
2. How do you simplify expressions involving exponents?
3. How do you handle negative exponents in an expression?
4. What happens when you multiply two powers with the same base?
5. How do you divide two powers with the same base?
6. How do you evaluate a power of a power, such as $(8^2)^3$?
7. Can the order of operations affect the outcome of an exponent-based expression?
8. What are some common mistakes when simplifying expressions with exponents?

Tip: Always remember to simplify expressions step by step, applying exponent rules carefully to avoid errors.