Question

How would I simplify (1/2sqrtx^(-1/2))/(sqrt2x+9?

Answer 1

eh? Do you mean

1/2 (√x)^(-1/2)
-----------------
√(2x+9)

Kind of odd, having a root of a root

Answer 2

I'm sorry no, all of it is multiplied (just ignore the dividing slash before square root2x+9, meant to be parentheses to multiply).

Answer 3

Well, if you mean

1/2 (√x)^(-1/2) √(2x+9)

There's not much to do. If you make it all a 4th-root, then you have

1/2 ∜((2x+9)^2 / x)

I still don't think that's what you meant, but ...