The given expression is:
[tex] \frac{ \sqrt[4]{400} }{ \sqrt[4]{5} } [/tex]
Since the power of radical is the same, we can combine the numerator and denominator under single radical sign as:
[tex] \sqrt[4]{ \frac{400}{5} } \\ \\
= \sqrt[4]{80} \\ \\ [/tex]
80 can be written as product of 16 and 5 and expression can be further simplified as:
[tex] \sqrt[4]{80} \\ \\
= \sqrt[4]{16*5} \\ \\
= \sqrt[4]{16}* \sqrt[4]{5} \\ \\
=2 \sqrt[4]{5} [/tex]
