# How do you divide (15 sqrt (8 x ^16))/(5 sqrt (2 x ^4))?

$6 {x}^{6}$
$\frac{15 \sqrt{8 {x}^{16}}}{5 \sqrt{2 {x}^{4}}} = 3 \sqrt{\frac{8 {x}^{16}}{2 {x}^{4}}}$
$= 3 \sqrt{4 {x}^{12}} = 3 \cdot 2 \cdot {x}^{6} = 6 {x}^{6}$