dizzy13723 dizzy13723
  • 15-07-2022
  • Mathematics
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Which expression is equivalent to 7sqrtx^2/5sqrty^3? Assume y does not equal 0

Which expression is equivalent to 7sqrtx25sqrty3 Assume y does not equal 0 class=

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SmaгtieGurL
SmaгtieGurL SmaгtieGurL
  • 15-07-2022

Answer:

Option A) [tex]\bf{ x^{\frac{2}{7}}*y^{-\frac{3}{5}}}[/tex]

Step-by-step explanation:

we have

[tex]\sf{\dfrac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}}[/tex]

we know that

[tex]\sf{\sqrt[7]{x^{2}}=x^{\frac{2}{7}}}[/tex]

[tex]\sf{\sqrt[5]{y^{3}}=y^{\frac{3}{5}}}[/tex]

substitute in the expression

[tex]\sf{\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}=x^{\frac{2}{7}}*y^{-\frac{3}{5}}}[/tex]

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