Respuesta :

Answer:

The answer is [tex]-2x^{9}[/tex]

Step-by-step explanation:

the quotient of -8 ÷ 4 = -2

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

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

[tex]\frac{-8x^{6} }{4x^{-3} }=\frac{-8}{4}(x^{6})(x^{3})=-2x^{6+3}[/tex]

[tex]=-2x^{9}[/tex]

Answer:

Choice D is the answer.

Step-by-step 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.

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