The expression given is:

\[
\frac{8n^3}{8n^8}
\]

### Simplification steps:
1. **Cancel the common factors**: Since both the numerator and the denominator have a factor of \(8\), we can cancel those out:
   \[
   \frac{8n^3}{8n^8} = \frac{n^3}{n^8}
   \]

2. **Apply the exponent rules**: Using the rule \(\frac{a^m}{a^n} = a^{m-n}\), we subtract the exponents of \(n\):
   \[
   \frac{n^3}{n^8} = n^{3-8} = n^{-5}
   \]

Thus, the simplified expression is:

\[
n^{-5}
\]

Alternatively, we can rewrite this using positive exponents as:

\[
\frac{1}{n^5}
\]

### Final answer:
\[
n^{-5} \quad \text{or} \quad \frac{1}{n^5}
\]

Would you like more details on the exponent rules or any other part of this process?

### Related questions:
1. What happens if there is a coefficient other than 8 in the expression?
2. How do we simplify expressions with negative exponents in the numerator?
3. What if we were asked to simplify \(\frac{n^a}{n^b}\) in general?
4. How do exponent rules apply to fractional exponents?
5. How would the expression change if it involved different variables?

**Tip:** Always remember that when dividing like terms with exponents, you subtract the exponents.

Learn how to simplify the expression 8n^3 / 8n^8 by canceling common factors and applying exponent rules. This step-by-step solution explains how to subtract exponents when dividing like terms. Suitable for students in Grades 8-10.

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