Divide. $\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }$
A) $- \frac { 5 x ^ { 5 } y } { 8 }$
B) $- \frac { 3 x ^ { 2 } } { 2 }$
C) $- x ^ { 5 } y ^ { 2 }$
D) $- \frac { 5 x ^ { 5 } } { 8 y ^ { 2 } }$
E) $- \frac { 2 x ^ { 3 } } { 3 y ^ { 2 } }$

Question

Quizplus · Accepted Answer

To divide, we need to keep the first fraction as it is and then invert and multiply the second fraction. So, 
$$\frac{25x^8}{-40x^3y^2} =  \frac{25x^8}{-40x^3y^2} \cdot \frac{-y^2}{8}$$
Simplifying, we get
$$\frac{25x^8}{-40x^3y^2} \cdot \frac{-y^2}{8} = \frac{-25x^8y^2}{320x^3} = \frac{-5x^5}{8y^2}$$ 
Therefore, the correct choice is D.

Divide 25x8−40x3y2\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }−40x3y225x8​

Divide $\frac { 25 x ^ { 8 } } { - 40 x ^ { 3 } y ^ { 2 } }$