Respuesta :

That would be  f^1/4.

1/4 being the rational exponent

Answer:

The required expression is [tex]f^{\frac{1}{4}}[/tex].

Step-by-step explanation:

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

The given expression is

[tex]\sqrt[4]{f}[/tex]

According to radical property of exponent.

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

In the given expression n=4 and [tex]x=f[/tex].

Using radical property of exponent, we get

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

Therefore the rational exponent expression of fourth root of f is [tex]f^{\frac{1}{4}}[/tex].

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