Question

How do you simplify `(3y^(1/4))/(4x^(-2/3)y^(3/2)*3y^(1/2))`?

Answer 1

`1/4. x^(2/3)/y^(7/4)`

Explanation:

Given,`{3y^(1/4)}/[4x^(-2/3)xxy^(3/2)xx3xxy^(1/2)]`

`rArr 3/(4xx3). y^(1/4) y^(-3/2)y^(-1/2)x^(2/3)`

`rArr 1/4. y^(1/4-3/2-1/2)x^(2/3)`

`rArr 1/4. y^(-7/4)x^(2/3)`

`rArr 1/4. x^(2/3)/y^(7/4)`