Respuesta :

27x^4/5y^2

hope it helps.

Answer:

[tex]\frac{3}{5x^{6}y^{6}}[/tex]

Step-by-step explanation:

[tex]\frac{-9x^{-1}y^{-9}}{-15x^5y^{-3}}[/tex]

To simplify the expression , apply exponential property

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex] when the base are same then we subtract the exponents.

[tex]\frac{x^{-1}}{x^5} =x^{-1-5}=x^{-6}[/tex]

[tex]\frac{y^{-9}}{y^{-3}} =y^{-9+3}=y^{-6}[/tex]

Divide both number by 3

[tex]\frac{3x^{-6}y^{-6}}{5}[/tex]

Write the answer with positive exponent

[tex]\frac{3}{5x^{6}y^{6}}[/tex]

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