# How do you simplify 10 ^ (7/6) / 10 ^ (5/6)?

Aug 3, 2016

$= \sqrt[3]{10}$

#### Explanation:

${10}^{\frac{7}{6}} / {10}^{\frac{5}{6}}$
$= {10}^{\frac{7}{6} - \frac{5}{6}}$
$= {10}^{\frac{7 - 5}{6}}$
$= {10}^{\frac{2}{6}}$
$= {10}^{\frac{1}{3}}$
$= \sqrt[3]{10}$