Question

Write two expressions that are equivalent to the expression listed below. (X^1/3)^2

Answer 1

Answer

1) X⁽²/³⁾
2) (∛X)²


Explanation
The rule of indies states that..

A⁽ᵇ⁾∧ˣ ⁿ  =  A⁽ᵇˣⁿ⁾
X⁽₁/₃⁾∧₂  =  X⁽²/³⁾

We can also write the same expressions as;

A¹/ⁿ = ⁿ√A

So, 
X⁽₁/₃⁾∧₂ = (∛X)²