Answer:
[tex]2\sqrt[3]{3}[/tex].
Step-by-step explanation:
We have been given an expression [tex]24^{\frac{1}{3}}[/tex]. We are supposed to express our given expression in another form.
Using exponent property [tex]a^{\frac{1}{n}=\sqrt[n]{a}[/tex], we can write our given expression as:
[tex]24^{\frac{1}{3}}=\sqrt[3]{24}[/tex]
We can write 24 as product of 8 and 3.
[tex]24^{\frac{1}{3}}=\sqrt[3]{8\cdot 3}[/tex]
[tex]24^{\frac{1}{3}}=\sqrt[3]{2^2\cdot 3}[/tex]
Using exponent property [tex]\sqrt[n]{a^n}=a[/tex], we will get:
[tex]24^{\frac{1}{3}}=2\sqrt[3]{3}[/tex]
Therefore, the equivalent expression is [tex]2\sqrt[3]{3}[/tex].
