The problem asks to simplify the expression $\frac{b^8}{b^4}$ and write the final answer without using negative exponents.

1. Problem Description

The problem asks to simplify the expression $\frac{b^8}{b^4}$ and write the final answer without using negative exponents.

2. Solution Steps

To simplify the given expression, we can use the quotient rule for exponents, which states that when dividing exponential expressions with the same base, we subtract the exponents.

$\frac{a^m}{a^n} = a^{m-n}$

In this case, we have $\frac{b^8}{b^4}$. Applying the quotient rule:

$\frac{b^8}{b^4} = b^{8-4} = b^4$

Since the problem asks for the final answer without negative exponents, and $b^4$ has a positive exponent, this is our final answer.

3. Final Answer

$b^4$