Answer
$\dfrac{1}{2}$
Work Step by Step
RECALL:
(i) $\sqrt[n]{a^n}=a$ when $n$ is odd.
(ii) $\sqrt[n]{a^n}=|a|$ when $n$ is even.
Write the radicand in exponential form (as a sixth power) to obtain
$\sqrt[6]{\left(\dfrac{1}{2}\right)^6}.$
Use rule (ii) above to obtain
$\sqrt[6]{\left(\dfrac{1}{2}\right)^6} = \bigg|\dfrac{1}{2}\bigg|=\dfrac{1}{2}.$
