Final answer:
The cube root of the fraction 4x/5 is simplified by expressing it as (4x/5)^(1/3). This is the most simplified form without knowing the value of x.
Step-by-step explanation:
The student is asking to simplify a cube root expression. To simplify RootIndex 3 StartRoot StartFraction 4x Over 5 EndFraction EndRoot, which is the cube root of 4x/5, we can rewrite the expression using fractional exponents. The cube root of something is the same as raising that something to the 1/3 power. Thus, the simplified form of the expression can be written as (4x/5)^(1/3). This expression cannot be further simplified without additional information about the value of x.