Answer :
If we simplify this down into the division of the numbers and then the division of the variable x it will be easier. If we divide -8 by 4 we get -2. So that's out of the way. Now we divide [tex] \frac{x^6}{x^{-3}} [/tex]. The rule is that if the bases are the same (they are both x's) we can subtract the lower exponent from the upper exponent: [tex] x^{6-(-3) [/tex] which is [tex] x^9 [/tex]. So the whole simplified expression is [tex] -2x^9 [/tex]