Question

Simplify:$\sqrt{\frac{p^{20}}{p^{10}}\hspace{0.17em}}$

Short answer

The required answer is$p^5$.

Step-by-step solution

Step 1. Given information.  

The given square root is$\sqrt{\frac{p^{20}}{p^{10}}}$.

Step 2. Simplify the given root.  

$$\begin{gathered} \sqrt{\frac{p^{20}}{p^{10}}} \\ =\sqrt{p^{10}} \end{gathered}$$

Apply radical rule.

$$\begin{gathered} =p^{\frac{10}{2}} \\ =p^5 \end{gathered}$$