The problem asks us to evaluate the expression $(-3)^8 \div 3^5$.

1. Problem Description

The problem asks us to evaluate the expression $(-3)^8 \div 3^5$.

2. Solution Steps

First, we observe that $(-3)^8 = (-1)^8 \cdot 3^8 = 1 \cdot 3^8 = 3^8$.

So, the expression becomes $3^8 \div 3^5$.

We can write the division as a fraction:

$\frac{3^8}{3^5}$

Using the exponent rule for division, we have:

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

Therefore, $\frac{3^8}{3^5} = 3^{8-5} = 3^3$.

Now, we evaluate $3^3 = 3 \cdot 3 \cdot 3 = 9 \cdot 3 = 27$.

3. Final Answer

27