How do you simplify r^-2 s^-2 t^4?

Aug 19, 2016

$\frac{{t}^{4}}{{r}^{2} {s}^{2}}$

Explanation:

You need to write the expression so that there are no negative indices.

Remember the law of indices which states: ${x}^{- m} = \frac{1}{{x}^{m}}$

Each base can be moved independently of the others.

$\textcolor{red}{{r}^{-} 2} \textcolor{b l u e}{{s}^{-} 2} \textcolor{b r o w n}{{t}^{4}}$

=$\frac{\textcolor{b r o w n}{{t}^{4}}}{\textcolor{red}{{r}^{2}} \textcolor{b l u e}{{s}^{2}}}$