Simplify

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\[\frac{ \sqrt[4]{400} }{ \sqrt[4]{5}}\]
Please explain/show your work so i understand

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hint: we can write: \[\Large \frac{{\sqrt[4]{{400}}}}{{\sqrt[4]{5}}} = \sqrt[4]{{\frac{{400}}{5}}} = \sqrt[4]{{\frac{{25 \times 16}}{5}}} = ...\] please continue
I dont know how to square this, I'm totally lost lol that's why i need the help and for someone to explain how we get to the answer
what is: 25/5=...?
5
ok! so we can write this: \[\frac{{\sqrt[4]{{400}}}}{{\sqrt[4]{5}}} = \sqrt[4]{{\frac{{400}}{5}}} = \sqrt[4]{{\frac{{25 \times 16}}{5}}} = \sqrt[4]{{5 \times 16}}\]
\[\large \frac{{\sqrt[4]{{400}}}}{{\sqrt[4]{5}}} = \sqrt[4]{{\frac{{400}}{5}}} = \sqrt[4]{{\frac{{25 \times 16}}{5}}} = \sqrt[4]{{5 \times 16}}\]
next, please keep in mind that: \[\Large 16 = {2^4}\]
ok so what do we do with the 16 than?
here is the next step: \[\Large \sqrt[4]{{5 \times 16}} = \sqrt[4]{5} \times \sqrt[4]{{16}} = \sqrt[4]{5} \times \sqrt[4]{{{2^4}}}\]
Where did the 25 come from? like when you splits it to 25x16 how did you get those numbers?
since: \[\Large 400 = 25 \times 16\]
Ok i see now
step by step: \[\large 400 = 4 \times 100 = 4 \times \left( {4 \times 25} \right) = \left( {4 \times 4} \right) \times 25 = 16 \times 25\]
now, do you know how to simplify: \[\Large \sqrt[4]{{{2^4}}}\]?
Sorry im catching up my computer froze
\[2\sqrt[4]{5}\]
that's right, since: \[\Large \sqrt[4]{{{2^4}}} = {2^{4/4}} = {2^1} = 2\]
or you can use windows calculator, to compute this: \[\Large \sqrt[4]{{{2^4}}} = \sqrt[4]{{16}} = 2\]
Sweet, thank you very ,much for guiding me along instead of giving me the answer, i like to understand how to get to the answer
:)

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