# How do you simplify root4(2401x^9y^14)?

Nov 13, 2016

$= 7 {x}^{2} {y}^{3} \sqrt[4]{x {y}^{2}}$

#### Explanation:

Write the term as the product of its prime factors ... group in multiples of 4 if possible,

root4 (2401x^9y^14

=root4(7^4 *x^8*x*y^12*y^2" "larr divide the indices by the root

$= 7 {x}^{2} {y}^{3} \sqrt[4]{x {y}^{2}}$