Question

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

Answer 1

For this case we must find the quotient of the following expression:

`\frac {-8x ^ 6} {4x ^ {- 3}} =`

By definition of power properties we have:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Rewriting the expression we have:

`(-8)/(4)*x^6*x^3`

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

`-2x^(6+3)`

Answer:

`-2x ^ 9`