Question

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

Answer 1

Answer:  Your complete answer would be -2x^9, if I'm not mistaken.

Answer 2

For this case we must find the quotient resulting from dividing the following expressions:

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

By definition of power properties, we have to:

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

Then, we can rewrite:

$4x ^ {- 3} = \frac {4} {x ^ 3}$

So:

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

By properties of multiplication of powers we have:

$a ^ n * a ^ m = a ^ {n + m}$

So:

$\frac {-8x ^ 9} {4} =\\-2x ^ 9$

Answer:

$-2x ^ 9$