[tex] 8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}}) [/tex]
the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction
8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})
goes to
[tex] \frac{8}{x^9}+(\frac{-3}{x^3y^2})(\frac{5y^2}{x^6}) [/tex]
now we can simplify the multiplied terms
[tex] \frac{8}{x^9}+(\frac{-15}{x^9}) [/tex]
Now that we have common bases, we can add the 2 fractions together to get
[tex] \frac{-7}{x^9} [/tex]
