(a) Express \(\dfrac{(pr^2)^{3/2}\sqrt{qr}}{q^2(pr^2)^{-1}}\) in the form \(p^aq^br^c\), giving the values of \(a\), \(b\) and \(c\).

(b) Solve the simultaneous equations \(3x^{1/2}-y^{-1/2}=4\) and \(4x^{1/2}+3y^{-1/2}=14\).