Question

Which expression is equivalent to 24∧ 1/3?

Answer 1

It should be the third root of 24 or 2 on the outside of the third root of 3

Answer 2

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 $2\sqrt[3]{3}$.