Answer:
see below
Step-by-step explanation:
The applicable rules of exponents are ...
- (a^b)(a^c) = a^(b+c)
- a^(-b) = 1/a^b
Using these to simplify your expression, you get ...
[tex]\dfrac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}=\dfrac{-9}{-15}x^{-1-5}y^{-9-(-3)}\\\\=\dfrac{3}{5}x^{-6}y^{-6}=\dfrac{3}{5x^6y^6}[/tex]
