Respuesta :
Answer:
Answer is C
Step-by-step explanation:
The root is placed in the denominator section, and the exponent is placed in the numerator section. it is a fraction because you are not using the entire exponent, you will only be using part of it as the other part of the exponent is negated by the X
For this case we have that by properties of roots and powers it is fulfilled that:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So, if we have the following expression:
[tex]\sqrt [3] {8 ^ x}[/tex]
According to the given definition, we can rewrite it as:
[tex]8 ^ {\frac {x} {3}}[/tex]
ANswer:
[tex]8 ^ {\frac {x} {3}}[/tex]
Option C