Question

Which is the correct simplified form of the expression

Answer 1

the answer to the question is a

Answer 2

`(x^(1)/(4))/(y^(5)/(6))`

Explanation:

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

To simplify the exponent we apply exponential property

`(a^m)/(a^n) =a^(m-n)`

`(x^(1)/(2))/(x^(1)/(4))=x^{(1)/(2) -(1)/(4)}=x^(1)/(4)`

`(y^(-1)/(3))/(y^(1)/(2))=x^{(-1)/(3) -(1)/(2)}=x^-(5)/(6)`

`x^(1)/(4) y^-(5)/(6)`

`(x^(1)/(4))/(y^(5)/(6))`