Respuesta :

Answer:

D. The work shown above is correct, and [tex]y^5.\sqrt[4]{y^3}[/tex] may not be simplified further.

Step-by-step explanation:

[tex]\sqrt[4]{y^{23} } = \sqrt[4]{y^4 . y^4 . y^4.y^4.y^3}[/tex]

[tex]\sqrt[4]{y^4. y^4.y^4. y^4.y^3} = y^5 . \sqrt[4]{y^3}[/tex]

When we simplify, we get

[tex]\sqrt[4]{y^{23} } = y^5.\sqrt[4]{y^3}[/tex]

The answer: D. The work shown above is correct, and [tex]y^5. \sqrt[4]{y^3}[/tex] may not be simplified further.

Thank you.