Answer:
[tex]-2x^{9}[/tex] is the quotient
Step-by-step explanation:
We have two expression [tex]-8x^6[/tex] and [tex]4x^{-3}[/tex]
We need to find quotient of this expression using exponent law.
First we write as quotient form,
[tex]\Rightarrow -\dfrac{8x^6}{4x^{-3}}[/tex]
[tex]\Rightarrow -2x^{6-(-3)}[/tex] [tex](x^m\div x^n=x^{m-n})[/tex]
[tex]\Rightarrow -2x^{6+3}[/tex]
[tex]\Rightarrow -2x^{9}[/tex]
Thus, [tex]-2x^{9}[/tex] is the quotient of [tex]-8x^6[/tex] and [tex]4x^{-3}[/tex].