k1ngzay697
k1ngzay697 k1ngzay697
  • 09-11-2020
  • Mathematics
contestada

Write [tex]\sqrt[3]{x^{2} y^{2} }[/tex] using fractional exponents.

Respuesta :

devishri1977
devishri1977 devishri1977
  • 09-11-2020

Answer:

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

Step-by-step explanation:

[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]

          = [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

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