As we know that , According to the rules of exponent
a⅔ can be written as ( a⅓)² So ,
(27⅓)²
Now according to the rule of roots we can write
[tex] {(a)}^{ \frac{1}{3} } = \sqrt[3]{a} \\ [/tex]
Then similarly :-
[tex] {( \sqrt[3]{27} )}^{2} = ( {3)}^{2} \\ [/tex]
(3)² = 3×3
= 9
Hence proved .
