Respuesta :
Answer: The required quotient is [tex]-2x^9.[/tex]
Step-by-step explanation: We are given to find the following quotient :
[tex]Q=-\dfrac{8x^6}{4x^{-3}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`(i)[/tex]
We will be using the following property of exponents :
[tex]\dfrac{x^a}{x^b}=x^{a-b}.[/tex]
Therefore, from equation (i), we get
[tex]Q\\\\\\=-\dfrac{8x^6}{4x^{-3}}\\\\\\=-2x^{6-(-3)}\\\\=-2x^{6+3}\\\\=-2x^9.[/tex]
Thus, the required quotient is [tex]-2x^9.[/tex]
