Answer:
The correct answer is X²/³
Explanation:
Points to remember
Identity
Xᵃ/Xᵇ = X⁽ ᵃ⁻ ᵇ ⁾
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
(Xᵃ)ᵇ = Xᵃᵇ
To find the equivalent expression
We have, (X⁴/³ X²/³)¹/³
Using identities we can write,
(X⁴/³ X²/³)¹/³ = (X⁴/³ * X²/³)¹/³
= (X⁴/³ ⁺ ²/³)¹/³
= ( X⁽⁴⁺²⁾/³)¹/³
= (X⁶/³)¹/³
= (X²)¹/³
= X²/³
Therefore the correct answer is X²/³