Respuesta :

Answer:

  • A. [tex](x^{2/7})(y^{-3/5})[/tex]

Step-by-step explanation:

The numerator is:

  • [tex]\sqrt[7]{x^2} = (x^2)^{1/7} = x^{2/7}\\[/tex]

The denominator is:

  • [tex]\sqrt[5]{y^3} = (y^3)^{1/5} = y^{3/5}[/tex]

The fraction is equivalent to:

  • [tex]\frac{x^{2/7}}{y^{3/5}} =[/tex]
  • [tex](x^{2/7})(y^{-3/5})[/tex]

Correct choice is A

Used rule

  • n√x=x^{1/n)
  • (a^m)^n=a^mn

So

  • ⁷√x²/⁵√y³
  • (x^{2/7})y⅗
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