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]