Reduce the rational expression to lowest terms. $\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }$
A) $\frac { 7 w ^ { 2 } } { 2 }$
B) $- \frac { 7 w ^ { 12 } } { 2 }$
C) $- \frac { 7 w ^ { 3 } } { 2 }$
D) $- \frac { 7 w ^ { 2 } } { 2 }$
E) $\frac { 7 w ^ { 3 } } { 2 }$

Question

Quizplus · Accepted Answer

To reduce a rational expression, divide the numerator and the denominator by their greatest common factor. In this case, the greatest common factor is $w^5$, so we can simplify: $$\frac{-7w^7}{2w^5}=-\frac{7}{2}\cdot\frac{w^7}{w^5}=-\frac{7}{2}w^2$$ Therefore, the answer is $\boxed{	extbf{(D)}\ -\frac{7w^2}{2}}$.

Reduce the Rational Expression to Lowest Terms −7w72w5\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }2w5−7w7​

Reduce the Rational Expression to Lowest Terms $\frac { - 7 w ^ { 7 } } { 2 w ^ { 5 } }$