Answer: [tex]-2x^{9}[/tex]
Step-by-step explanation:
To find the quotient, you need to apply the Quotient of powers property. This is:
[tex]\frac{a^m}{a^n}=a^{(m-n)[/tex]
Then given the expression [tex]\frac{-8x^6}{4x^{-3}}[/tex] you can apply the property mentioned before. Then you get:
[tex]\frac{-8x^{(6-(-3))}}{4}[/tex]
You should remember the multiplication of signs:
[tex](-)(-)=+\\(+)(+)=+\\(-)(+)=-[/tex]
Therefore, simplifying the expression, you get that the quotient of [tex]\frac{-8x^6}{4x^{-3}}[/tex] is:
[tex]-2x^{9}[/tex]
