1. **State the problem:** Simplify the expression $$\left(\frac{x^{-2}}{x^{5}}\right)^{0}$$ using only positive exponents. 2. **Recall the zero exponent rule:** Any nonzero base raised to the power of zero equals 1, i.e., $$a^{0} = 1$$ for $$a \neq 0$$. 3. **Apply the zero exponent rule:** Since the entire expression is raised to the zero power, regardless of the base (as long as it is not zero), the expression simplifies to: $$\left(\frac{x^{-2}}{x^{5}}\right)^{0} = 1$$ 4. **No further simplification needed:** The expression is already simplified and contains no negative exponents. **Final answer:** $$1$$