1. The problem is to simplify $$\left( \frac{x^{-2}}{x^5} \right)^0$$ using only positive exponents. 2. Recall the rule: Any nonzero expression raised to the power of 0 equals 1, i.e., $$a^0 = 1$$ for $$a \neq 0$$. 3. Inside the parentheses, we have $$\frac{x^{-2}}{x^5}$$, but since the entire expression is raised to the 0 power, the value is independent of the base (as long as it is not zero). 4. Therefore, $$\left( \frac{x^{-2}}{x^5} \right)^0 = 1$$. 5. The simplified expression using only positive exponents is simply $$1$$.