#### Answer

$\frac{1}{3}$

#### Work Step by Step

RECALL:
(i) $a^{\frac{1}{2}}=\sqrt{a}$
(ii) $\sqrt{a^2}=|a|$
Use rule (i) above to obtain:
$=\sqrt{\frac{1}{9}}$
Write $\frac{1}{9}$ as $(\frac{1}{3^2})$:
$=\sqrt{(\frac{1}{3})^2}$
Use rule (ii) above to obtain:
$=|\frac{1}{3}|
\\=\frac{1}{3}$