# How do you simplify \frac { 5v ^ { 5} w ^ { 2} } { 40v ^ { 4} w ^ { 2} }?

Jul 30, 2017

$\frac{v}{8}$

#### Explanation:

First of all, numerically, look at $\frac{5}{40}$.

$\frac{5}{40}$ has as the greatest common factor $5$, so

$\frac{5}{5} = 1 \mathmr{and} \frac{40}{5} = 8$

So $\frac{5}{40} = \frac{1}{8}$

For the variables, to divide exponents, you subtract the denominator exp from the numerator exp. So it will be

${v}^{5 - 4} = v \mathmr{and} {w}^{2 - 2} = {w}^{0}$

and any number to the power of $0$ is equal to $1$.