which expression is equivalent to $24^{\frac{1}{3}}$?\n$2sqrt{3}$\n$2sqrt3{3}$\n$2sqrt{6}$\n$2sqrt3{6}$

Explanation:

Step1: Prime - factorize 24

$24 = 2^3\times3$

Step2: Apply the exponent rule $(ab)^n=a^n\times b^n$

$24^{\frac{1}{3}}=(2^3\times3)^{\frac{1}{3}} = 2^{3\times\frac{1}{3}}\times3^{\frac{1}{3}}$

Step3: Simplify the exponents

$2^{3\times\frac{1}{3}}\times3^{\frac{1}{3}}=2\times3^{\frac{1}{3}} = 2\sqrt[3]{3}$

Answer:

$2\sqrt[3]{3}$ (the second option)