Rational exponent is an exponent that is fractional in form. Let us dissect this one by one.
An n root means that the number or the variable has a power raised 1 / n. For example, if we have a square root of x, this means that x^(1/2).
So in this case since this is cube root, therefore our total variable is raised to the power of 1 / 3.
Since it is also raised to the power of 5, therefore the total power is 5 / 3. This makes the variable in the form:
(x^4)^(5 / 3)
To simplify this further, our variable x is raised also to the power of 4, therefore we multiply the powers. Which simplify this further into:
x^20 / 3
Answer:
x ^
(20 / 3)
or
[tex] x^{20/3} [/tex]
