write the expression $6^{\frac{7}{12}}$ in radical form.\n$sqrt7{6^{12}}$\n$sqrt12{6^{7}}$\n$sqrt12{7cdot6}$

Explanation:

Step1: Recall the rule for fractional exponents

The rule is $a^{\frac{m}{n}}=\sqrt[n]{a^{m}}$, where $a = 6$, $m = 7$ and $n=12$.

Step2: Apply the rule

Substituting the values into the rule, we get $6^{\frac{7}{12}}=\sqrt[12]{6^{7}}$.

Answer:

$\sqrt[12]{6^{7}}$ (corresponding to the second option in the multiple - choice list)