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Answer:
[tex]2\cdot y^{\frac{5}{8}}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
[tex](a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]
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So, the given expression can be rewritten to ...
[tex](4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}[/tex]
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k = 2; n = 5/8
