Answer:
Option a:[tex]f^{\frac{1}{4}}[/tex]
Step-by-step explanation:
1. By definition [tex]\sqrt[n]{x}[/tex] can be written as [tex]x^{\frac{1}{n}}[/tex].
2. Then, keeping this on mind, you have that [tex]\sqrt[4]{f}[/tex] can be also written as following:
[tex]\sqrt[4]{f}=f^{\frac{1}{4}}[/tex]
3. Therefore, the rational exponent expression of [tex]\sqrt[4]{f}[/tex] is the option a:
[tex]f^{\frac{1}{4}}[/tex]
Answer:
[tex]\sqrt[4]{f} = f^\frac{1}{4}[/tex]
Step-by-step explanation:
Given expression is
[tex]\sqrt[4]{f}[/tex]
To write the expression in rational exponent we need to remove the radical
we apply the below rule
[tex]\sqrt[n]{x} = x^\frac{1}{n}[/tex]
We apply the same rule in our problem
[tex]\sqrt[4]{f} = f^\frac{1}{4}[/tex]
so answer is f to the one fourth power
