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

Question

asked Jan 20, 2020 87.0k views

2 Answers

Zumm · Answer 1 · 2020-01-25T02:02:32+0000

Answer:
-2x^(9)

Explanation:

To find the quotient, you need to apply the Quotient of powers property. This is:

$(a^m)/(a^n)=a^{(m-n)$

Then given the expression
(-8x^6)/(4x^(-3)) you can apply the property mentioned before. Then you get:

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

You should remember the multiplication of signs:

$(-)(-)=+\\(+)(+)=+\\(-)(+)=-$

Therefore, simplifying the expression, you get that the quotient of
(-8x^6)/(4x^(-3)) is:

-2x^(9)