1. **State the problem:** Simplify the expression $\frac{x^{-2}}{y^{-6}}$ so that all exponents are positive. 2. **Recall the rule for negative exponents:** For any nonzero number $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$. 3. **Apply the rule to the numerator and denominator:** $$\frac{x^{-2}}{y^{-6}} = x^{-2} \times y^{6}$$ Because dividing by $y^{-6}$ is the same as multiplying by $y^{6}$. 4. **Rewrite $x^{-2}$ with positive exponent:** $$x^{-2} = \frac{1}{x^2}$$ 5. **Substitute back:** $$\frac{1}{x^2} \times y^{6} = \frac{y^6}{x^2}$$ 6. **Final simplified expression with positive exponents:** $$\frac{y^6}{x^2}$$ **Note:** The expression $x^2 y^6$ given in the problem is equivalent to $\frac{y^6}{x^2}$ if written as a fraction, but the original expression simplifies to $\frac{y^6}{x^2}$ to keep all exponents positive. **Answer:** $\frac{y^6}{x^2}$