Question

Simplify:$\sqrt{\frac{x^{10}}{x^6}\hspace{0.17em}}$

Short answer

The required answer is$x^2$.

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{x^{10}}{x^6}}$.

Step 2. Simplify the given root.  

$$\begin{gathered} \sqrt{\frac{x^{10}}{x^6}} \\ =\sqrt{x^4} \end{gathered}$$

Apply radical rule.

$$\begin{gathered} x^{\frac{4}{2}} \\ =x^2 \end{gathered}$$