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What is the simplest radical form of the expression?

(x^3y^4)^2/3
the 3 in the answer are small 3 on top of the square roots.

A. x^2y^2 3√y^2
B. xy^2 3√x^2
C. x^4y^6√x
D. x^4y^3√y

Respuesta :

i think it is B but i do not know fro sure
olayemiolakunle65

Answer:

A. [tex]x^{2} y^{2} \sqrt[3]{y^2}[/tex]

Step-by-step explanation:

[tex](x^{3} y^{4} )^{\frac{2}{3} }[/tex]  

By expansion, the equation = [tex]x^{\frac{6}{3} } y^{\frac{8}{3} }[/tex]

                                               = [tex]x^{2} y^{\frac{8}{3} }[/tex]

Therefore, the equation = [tex]x^{2} y^{2} \sqrt[3]{y^2}[/tex]

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