Question

What is the quotient of

Answer 1

Choice D is the answer.

Explanation:

We have given an expression.

-8x⁶ / 4x⁻³

We have to simplify above expression.

We use following formulas to solve above expression.

x⁻ᵃ = 1 / xᵃ formula(1)

xᵃ × xᵇ = xᵃ⁺ᵇ formula(2)

Using formula (1) in given expression , we have

(-8/4) × x⁶ × x³

Using formula (2) in above expression, we have

(-2) × x ⁶⁺³

-2 × x⁹

-2x⁹ which is the answer.

Answer 2

The answer is
`-2x^(9)`

Explanation:

the quotient of -8 ÷ 4 = -2

To find the quotient of x^6 ÷ x^(-3) subtract their power

x^(6 - -3) = x^9

`(-8x^(6) )/(4x^(-3) )=(-8)/(4)(x^(6))(x^(3))=-2x^(6+3)`

`=-2x^(9)`