Answer:
[tex]\sqrt[8]x = x^\frac{1}{6}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt[6] x[/tex]
Required
Represent as an exponent
In indices, we have:
[tex]\sqrt[n]x = x^\frac{1}{n}[/tex]
By comparison:
[tex]\sqrt[8]x = \sqrt[n]x[/tex]
[tex]n = 8[/tex]
Apply this law to the given expression:
We have:
[tex]\sqrt[8]x = x^\frac{1}{6}[/tex]
