Question

What is the quotient-8x^6/4x^-3

Answer 1

the answer to the equation is -2x^9

Explanation:

Answer 2

Answer: The required quotient is
`-2x^9.`

Step-by-step explanation: We are given to find the following quotient :

`Q=-(8x^6)/(4x^(-3))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`(i)`

We will be using the following property of exponents :

`(x^a)/(x^b)=x^(a-b).`

Therefore, from equation (i), we get

`Q\\\\\\=-(8x^6)/(4x^(-3))\\\\\\=-2x^(6-(-3))\\\\=-2x^(6+3)\\\\=-2x^9.`

Thus, the required quotient is
`-2x^9.`