Respuesta :

Tasyha

Answer:

[tex] {x}^{2} {y}^{8} [/tex] (second option)

Step-by-step explanation:

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

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

[tex] {x}^{8} \times ( {y}^{3} {)}^{4} = {x}^{8} {y}^{12} [/tex]

[tex] \frac{ {x}^{8} {y}^{12} }{( {x}^{3} {y}^{2} {)}^{2} } = \frac{ {x}^{8} {y}^{12} }{ {x}^{6} {y}^{4} } [/tex]

[tex] \frac{ {x}^{2} {y}^{12} }{ {y}^{4} } = {x}^{2} {y}^{8} [/tex]

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

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