For a particular non$-$elementary reaction at a temperature $T,$ if $,k=\frac{k_1^{\frac{1}{4}}}{k_2^2},$ and if $E_1$ and $E_2$ are the respective activation energies corresponding to reactions with $k_1$ and $k_2,$ show calculation to find the equation of $E_{\text{n}\text{e}\text{t}}.$

$[3$ marks$]$