# How do you multiply  (4sqrt (x^12)) / (24 sqrt (x^2))?

The answer is : ${x}^{5} / 6$
$\frac{4 \sqrt{{x}^{12}}}{24 \sqrt{{x}^{2}}} = \frac{4 {x}^{\frac{12}{2}}}{24 {x}^{\frac{2}{2}}} = \frac{4}{24} \cdot {x}^{6} / x = \frac{1}{6} \cdot {x}^{6 - 1} = \frac{1}{6} \cdot {x}^{5} = {x}^{5} / 6$