I have two formulas for a velocity displayed below

Vn = 175 / ( p^0.43 ) eqn 1

and

Ve = 135 / ( p^0.5 ) eqn 2

I know that for any value of p i choose, Equation 2 will give me a lower velocity.

I know this from a simple trial and error method, by substituting different values for p.

Besides this trial and error method, is there any way that i can prove that Ve<Vn all the time?