The problem is to simplify the expression $(-3)^8 \div (-3)^5$.

1. Problem Description

The problem is to simplify the expression $(-3)^8 \div (-3)^5$.

2. Solution Steps

We can use the rule for dividing exponents with the same base, which is:

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

In our case, $a = -3$, $m = 8$, and $n = 5$. Therefore,

$(-3)^8 \div (-3)^5 = (-3)^{8-5} = (-3)^3$

Now we need to calculate $(-3)^3$:

$(-3)^3 = (-3) \times (-3) \times (-3) = 9 \times (-3) = -27$

3. Final Answer

-27