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