# How do you simplify (-4w^3x^5 )/(-2w^2x^2)?

May 22, 2018

$2 w {x}^{3}$

#### Explanation:

$\frac{- 4 {w}^{3} {x}^{5}}{- 2 {w}^{2} {x}^{2}}$

$\frac{2 {w}^{3} {x}^{5}}{1 {w}^{2} {x}^{2}} = \frac{2 {w}^{3} {x}^{5}}{{w}^{2} {x}^{2}}$ because $\frac{- 4}{- 2} = \frac{2}{1} = 2$

when we move a variable across the division bar the exponent changes signs, we'll move $w$ and $x$ to the top:

$\left(2 \cdot {w}^{3} \cdot {w}^{-} 2 \cdot {x}^{5} \cdot {x}^{-} 2\right)$

when you multiply variables together you add the exponents:

$2 \cdot {w}^{3 + \left(- 2\right)} \cdot {x}^{5 + \left(- 2\right)}$

$2 \cdot {w}^{1} \cdot {x}^{3}$

$2 w {x}^{3}$