Question

Evaluate:
$27^{\frac{2}{3} }$

(An explanation would be appreciated.)

Answer 1

 

$\displaystyle\\27^\frac{2}{3}}=\left(\sqrt[\b3]{27}\right)^2=3^2=9\\\\OR\\\\27^\frac{2}{3}}=\sqrt[\b3]{(27)^2}=\sqrt[\b3]{729}=9$