Question Number 187177 by Humble last updated on 14/Feb/23
$$ \\ $$$$\mathrm{2}^{{y}} {y}^{\mathrm{2}} +\left(\mathrm{2}{y}\right)^{\left(\mathrm{2}{y}\right)} =\mathrm{272} \\ $$
Answered by Frix last updated on 14/Feb/23
$$\mathrm{2}^{{y}} {y}^{\mathrm{2}} +\left(\mathrm{2}{y}\right)^{\left(\mathrm{2}{y}\right)} =\mathrm{16}+\mathrm{256} \\ $$$${y}=\mathrm{2} \\ $$