Question

How do you solve this problem ?

Answer 1

9514 1404 393

Answer:

  $2\cdot y^{\frac{5}{8}}$

Step-by-step explanation:

The applicable rules of exponents are ...

  $(a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}$

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So, the given expression can be rewritten to ...

  $(4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}$

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k = 2; n = 5/8

Answer 2

Answer: 2y124√y12

How to: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

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