# How do you simplify  sqrt(x^8)/sqrt(x^4)?

Apr 10, 2017

The answer should be ${x}^{2}$

#### Explanation:

${x}^{8 \cdot \frac{1}{2}} / {x}^{4 \cdot \frac{1}{2}}$

${x}^{4} / {x}^{2}$

${x}^{4 - 2}$
using ${a}^{b} / {a}^{c} = {a}^{b - c}$
${x}^{2}$