How do you simplify (-4w^12)/(12w^3)?

Jan 14, 2017

$- \frac{1}{3} {w}^{9}$

Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{m} / {a}^{n} = {a}^{m - n}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\Rightarrow \frac{- 4 {w}^{12}}{12 {w}^{3}} = \frac{- 4}{12} \times {w}^{12} / {w}^{3}$

$= - \frac{1}{3} \times {w}^{12 - 3} = - \frac{1}{3} {w}^{9}$