Question

How do you simplify `y^(9/8)/y^(5/8)`?

Answer 1

`= y^ (1/2)`

Explanation:

`(y^(9/8)) / (y^(5/8))`

• Applying property:
  `color(blue)(y^m/y^n = y^(m-n)`

Applying the above to the expression:
`(y^(9/8)) / (y^(5/8)) = y^color(blue)((9/8 - 5/8))`

`= y^(4/8)`

`= y^ (1/2)`