For this case we must find the quotient of the following expression:
[tex]\frac {-8x ^ 6} {4x ^ {- 3}} =[/tex]
By definition of power properties we have:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
Rewriting the expression we have:
[tex]\frac{-8}{4}*x^6*x^3[/tex]
By definition of multiplication of powers of the same base we have to put the same base and add the exponents:
[tex]-2x^{6+3}[/tex]
Answer:
[tex]-2x ^ 9[/tex]
