For this case we have the following expression:
[tex](x ^ {\frac {1} {6}}) ^ 3[/tex]
We have that by definition of properties of powers it is fulfilled that:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
Now we have to, by applying the property:
[tex](x ^ {\frac {1} {6}}) ^ 3 = x ^ {\frac {3} {6}}[/tex]
Simplifying:
[tex]x ^ {\frac {3} {6}} = x ^ {\frac {1} {2}}[/tex]
Answer:
[tex]x ^ {\frac {1} {2}}[/tex]
