Consider a price vector $pin{R}_{+}^2,$ a utility level $uin{R}_{+},$ and the function

$e(p,u)=p_1^{}{p}_2^{}{u}^2$

For what parameter values $of$ and $$ does $e(p,u)$ satisfy all the properties $ofan$ expenditure function?

When this condition $is$ satisfied, find Hicksian demands and the indirect utility function.