1. The problem is to express $8p^{-3}$ as a fraction without negative exponents. 2. Recall the rule for negative exponents: $a^{-n} = \frac{1}{a^n}$ where $a \neq 0$. 3. Apply this rule to $p^{-3}$: $$8p^{-3} = 8 \times \frac{1}{p^3}$$ 4. Multiply the constants and variables: $$8 \times \frac{1}{p^3} = \frac{8}{p^3}$$ 5. Therefore, the expression $8p^{-3}$ as a fraction without negative exponents is: $$\boxed{\frac{8}{p^3}}$$