The resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Indices and expansion
Given the indices expression;
[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}[/tex]
Applying the law of indices, the expression will become;
[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}\\\frac{9}{15} x^{-1-5}y^{-9-(-3)}\\\frac{9}{15} x^{-6}y^{-9+3}\\[/tex]
HenceSimplify the resulting expression to have:
[tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Hence the resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Learn more on indices here: https://brainly.com/question/10339517
