The fractional number given has a quotient of -2x⁹.
Given that (-8x⁶)÷(4x⁻³) is the fractional number.
The resultant number obtained by dividing two numbers is known as the quotient. Let's divide number a by number b. Then, q=a÷b will be these two numbers' quotient.
Here are the actual numbers (a,b).
In this case,the fraction is (-8x⁶)÷(4x⁻³).
Assume that q=(-8x⁶)÷(4x⁻³)
If you write the denominator variable as x⁻¹=1÷x, you obtain
[tex]\begin{aligned}q&=\frac{-8x^6}{4\frac{1}{x^3}}\\ &=\frac{-8x^6\times x^3}{4}\end[/tex]
As we are aware, if two numbers are multiplied together and their bases are the same, their powers can be represented as sums, such as
q=(-8x⁶⁺³)÷(4)
q=(-8x⁹)÷(4)
By dividing the numerator by the denominator, we get
q=-2x⁹
Hence,the given fraction (-8x⁶)÷(4x⁻³) has a quotient of -2x⁹.
Learn more about quotient from here brainly.com/question/673545.
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