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

Answer:

The required expression is $f^{\frac{1}{4}}$.

Step-by-step 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.

$\sqrt[n]{x}=x^{\frac{1}{n}}$

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

Using radical property of exponent, we get

$\sqrt[4]{f}=f^{\frac{1}{4}}$

Therefore the rational exponent expression of fourth root of f is $f^{\frac{1}{4}}$.