Answer :

Hello there. To solve this question, we have to remember some properties about notations.

Given the number

[tex]7^{\frac{1}{4}}[/tex]

We want to determine its correct representation amongst the options.

For this, remember the fractional power notation:

[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]

In this case, m = 1 and n = 4, hence

[tex]7^{\frac{1}{4}}=\sqrt[4]{7}[/tex]

This is the answer contained in the second option.