Question

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

Answer 1

`=7x^2y^3root4(xy^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

`=7x^2y^3root4(xy^2)`