1. **State the problem:** Simplify the expression $$\left( \frac{49}{p^2} \right)^{\frac{1}{2}}$$. 2. **Recall the rule:** The exponent $\frac{1}{2}$ means taking the square root. So, $$\left( \frac{a}{b} \right)^{\frac{1}{2}} = \sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$$. 3. **Apply the rule:** $$\left( \frac{49}{p^2} \right)^{\frac{1}{2}} = \frac{\sqrt{49}}{\sqrt{p^2}}$$ 4. **Simplify the square roots:** - $\sqrt{49} = 7$ - $\sqrt{p^2} = |p|$ (absolute value of $p$ because square root of a square is the absolute value) 5. **Write the simplified expression:** $$\frac{7}{|p|}$$ **Final answer:** $$\boxed{\frac{7}{|p|}}$$