To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
[tex] \sqrt[3]{216 x^{27} } [/tex]
2. Rewriting the expression we have:
[tex] \sqrt[3]{6^3 x^{27} } [/tex]
3. You have that [tex]6^3[/tex] and the exponent [tex]27
[/tex] are divisible by index [tex]3
[/tex]. Therefore, you have:
[tex] \sqrt[3]{216 x^{27} } =6 x^{9} [/tex]
Therefore, as you can see,
the answer is the option, which is: [tex]6 x^{9}
[/tex]
