Question

Using radicals, write an equivalent expression for the expression 2^1/3

Answer 1

2^(1/3)
∛2

The cubed root of two.

Answer 2

`2^(1)/(3) =\sqrt[3]{2^1}=\sqrt[3]{2}`

Explanation:

2^1/3

We need to write the given expression in radical form

to convert expression into radical form we use formula

`a^(m)/(n) =\sqrt[n]{a^m}`

The denominator n in the fraction comes with the radical

numerator 'm' goes inside the radical

`2^(1)/(3) =\sqrt[3]{2^1}=\sqrt[3]{2}`