Write in Exponential Form ( square root of x^12)/( square root of x^5)

$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x^{12}}$ as $x^{\frac{12}{2}}$ .

$\frac{x^{\frac{12}{2}}}{\sqrt{x^{5}}}$

Step 2

Divide $12$ by $2$ .

$\frac{x^{6}}{\sqrt{x^{5}}}$

Step 3

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{x^{5}}$ as $x^{\frac{5}{2}}$ .

$\frac{x^{6}}{x^{\frac{5}{2}}}$