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

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