# How do you simplify ((r^3v^-2)/t^-7)?

Jun 16, 2017

$\frac{{r}^{3} {t}^{7}}{v} ^ 2$

#### Explanation:

Apply the law of indices for negative exponents:

${x}^{-} m = \frac{1}{x} ^ m \text{ "and" } \frac{1}{y} ^ - n = {y}^{n}$

There are two negative exponents which need attention.
Apply the laws to make them positive.

$\frac{{r}^{3} \textcolor{red}{{v}^{-} 2}}{\textcolor{b l u e}{{t}^{-} 7}}$

= (r^3 color(blue)(t^7))/(color(red)(v^2)