Question

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

Answer 1

Answer:

Option a:$f^{\frac{1}{4}}$

Step-by-step explanation:

1. By definition $\sqrt[n]{x}$ can be written as $x^{\frac{1}{n}}$.

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

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

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

$f^{\frac{1}{4}}$

Answer 2

Answer:

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

Step-by-step 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

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

We apply the same rule in our problem

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

so answer is f to the one fourth power