Question

How do you solve this problem ?

Answer 1

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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Answer 2

9514 1404 393

Answer:

`2\cdot y^{(5)/(8)}`

Explanation:

The applicable rules of exponents are ...

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

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

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

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k = 2; n = 5/8