what is $6^{\frac{2}{3}}$ in radical form?\n$sqrt3{6^{2}}$\n$sqrt2{6^{3}}$\n$sqrt2{6cdot3}$\ndone

Explanation:

Step1: Recall exponent - radical conversion rule

The rule for converting a rational - exponent $a^{\frac{m}{n}}$ to radical form is $\sqrt[n]{a^{m}}$, where $a$ is the base, $m$ is the numerator of the exponent, and $n$ is the denominator of the exponent. For the expression $6^{\frac{2}{3}}$, here $a = 6$, $m = 2$, and $n = 3$.

Step2: Write in radical form

According to the rule, $6^{\frac{2}{3}}=\sqrt[3]{6^{2}}$.

Answer:

$\sqrt[3]{6^{2}}$ (corresponding to the first option in the multiple - choice question)