# How do you simplify (4r^2v^0t^5)/(2rt^3)?

Feb 4, 2017

See the entire simplification process below:

#### Explanation:

We will use these three rules for exponents to simplify this expression:

${a}^{\textcolor{red}{0}} = 1$

$a = {a}^{\textcolor{red}{1}}$

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

$\frac{4 {r}^{2} {v}^{\textcolor{red}{0}} {t}^{5}}{2 r {t}^{3}} = \frac{4 {r}^{2} 1 {t}^{5}}{2 {r}^{\textcolor{red}{1}} {t}^{3}} = \frac{4 {r}^{2} {t}^{5}}{2 {r}^{1} {t}^{3}} = 2 {r}^{2 - 1} {t}^{5 - 3} = 2 {r}^{1} {t}^{2} = 2 r {t}^{2}$