Respuesta :

For this case, we must find an expression equivalent to:

[tex]24 ^ {\frac {1} {3}}[/tex]

By definition of properties of powers and roots, we have to:

[tex]a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}[/tex]

So, we can rewrite the given expression as:

[tex]\sqrt [3] {24}[/tex]

We know that:

[tex]24 = 8 * 3 = 2 ^ 3 * 3[/tex]

Substituting:

[tex]\sqrt [3] {2 ^ 3 * 3} = 2 ^ \frac {3} {3} * \sqrt [3] {3} = 2 \sqrt [3] {3}[/tex]

Answer:

Option B