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.