Question Number 18730 by chernoaguero@gmail.com last updated on 29/Jul/17
![If [((((2/3))^5 ))^(1/9) ]^(√(x−5)) =a^0 , find the value of x.](https://www.tinkutara.com/question/Q18730.png)
$$\mathrm{If}\:\:\left[\sqrt[{\mathrm{9}}]{\left(\frac{\mathrm{2}}{\mathrm{3}}\right)^{\mathrm{5}} }\right]^{\sqrt{{x}−\mathrm{5}}} ={a}^{\mathrm{0}} ,\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}. \\ $$
Commented by Tinkutara last updated on 29/Jul/17
$${x}\:=\:\mathrm{5}. \\ $$
Commented by chernoaguero@gmail.com last updated on 29/Jul/17
$${plz}\:{show}\:{workin} \\ $$
Commented by Tinkutara last updated on 29/Jul/17
$$\mathrm{RHS}\:=\:\mathrm{1}\:\mathrm{so}\:\mathrm{LHS}\:\mathrm{should}\:\mathrm{be}\:\mathrm{1}.\:\mathrm{It}\:\mathrm{can}\:\mathrm{be} \\ $$$$\mathrm{when}\:\mathrm{exponent}\:\mathrm{is}\:\mathrm{0}. \\ $$