- [tex]\frac{3y}{x^{2} }[/tex]
separate the factors as products
[tex]\frac{-24}{8}[/tex] × [tex]\frac{x^{4} }{x^{6} }[/tex] × [tex]\frac{y^{3} }{y^{2} }[/tex]
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] if m > n
and [tex]\frac{1}{a^{(n-m)} }[/tex] if n > m
= - 3 × [tex]\frac{1}{x^{(6-4)} }[/tex] × [tex]y^{(3-2)}[/tex]
= - 3 × [tex]\frac{1}{x^{2} }[/tex] × y = - [tex]\frac{3y}{x^{2} }[/tex]
