Question

What is the quotient of StartFraction negative 8 x Superscript 6 Baseline Over 4 x Superscript negative 3 Baseline EndFraction? StartFraction x Superscript 9 Baseline Over 32 EndFraction 4x9 Negative StartFraction 12 Over x squared EndFraction –2x9

Answer 1

Answer:

Option D.

Step-by-step explanation:

We need to find the quotient of  

$\dfrac{-8x^6}{4x^{-3}}$

It can rewritten as

$\dfrac{-8}{4}\times \dfrac{x^6}{x^{-3}}$

$-2\times x^{6-(-3)}$      $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$-2x^{6+3}$  

$-2x^{9}$  

The required expression is $-2x^{9}$ .

Therefore, the correct option is D.