To convert the root form into exponential form, we use the fact that the [tex]\(n^{th}\)[/tex] root of a number can be expressed as that number to the power of [tex]\(\frac{1}{n}\)[/tex].
Given the root form: [tex]\(\sqrt[8]{6}\)[/tex]
We need to express this in exponential form.
The [tex]\(8^{th}\)[/tex] root of 6 can be written as:
[tex]\[ 6^{\frac{1}{8}} \][/tex]
Thus, the correct answer is:
[tex]\[ 6^{\frac{1}{8}} \][/tex]
