#### Answer

$\color{blue}{3}$

#### Work Step by Step

RECALL:
(1) $a^{m/n} = \sqrt[n]{a^m}=(\sqrt[n]{a})^m$
Use the rule above t obtain:
$27^{2/3} = \sqrt[3]{27}$
With $27=3^3$, the expression above is equivalent to:
$=\sqrt[3]{3^3}$
Use rule (2) above to obtain:
$=\color{blue}{3}$