Question

Which of the following is the rational exponent expression of fourth root of f?

a. f to the one fourth power
b. f4
c. 4f
d. f over four

Answer 1

`\sqrt[4]{f} = f^(1)/(4)`

Explanation:

Given expression is

`\sqrt[4]{f}`

To write the expression in rational exponent we need to remove the radical

we apply the below rule

`\sqrt[n]{x} = x^(1)/(n)`

We apply the same rule in our problem

`\sqrt[4]{f} = f^(1)/(4)`

so answer is f to the one fourth power

Answer 2

Option a:
`f^{(1)/(4)}`

Explanation:

1. By definition
`\sqrt[n]{x}` can be written as
`x^{(1)/(n)}`.

2. Then, keeping this on mind, you have that
`\sqrt[4]{f}` can be also written as following:

`\sqrt[4]{f}=f^{(1)/(4)}`

3. Therefore, the rational exponent expression of
`\sqrt[4]{f}` is the option a:

`f^{(1)/(4)}`