If \(x = ay^{\frac{3}{4}}\) and \(z = b \sqrt{(y/x)}\), prove that \(z^6 = cx\), where \(c\) is independent of \(x\), \(y\) and \(z\), stating the value of \(c\) in terms of \(a\) and \(b\).

If \(x = ay^{\frac{3}{4}}\) and \(z = b \sqrt{(y/x)}\), prove that \(z^6 = cx\), where \(c\) is independent of \(x\), \(y\) and \(z\), stating the value of \(c\) in terms of \(a\) and \(b\).