Question

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

Answer 1

That would be f^1/4.

1/4 being the rational exponent

Answer 2

The required expression is
`f^{(1)/(4)}`.

Explanation:

We need to find the rational exponent expression of fourth root of f.

The given expression is

`\sqrt[4]{f}`

According to radical property of exponent.

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

In the given expression n=4 and
`x=f`.

Using radical property of exponent, we get

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

Therefore the rational exponent expression of fourth root of f is
`f^{(1)/(4)}`.