Question

How do you simplify `(r^3t^-1x^-5)/(tx^5)`?

Answer 1

`r^3/(t^2x^10)`

Explanation:

There are many different laws of indices. the 2 you need here are:

`x^-m = 1/x^m" " and x^m xx x^n = x^(m+n)`

I like to get rid of any negative indices first.

`(r^3color(blue)( t^-1)color(red)(x^-5))/(tx^5) = (r^3)/(color(blue)t*tx^5color(red)(x^5))`

=`r^3/(t^2x^10)`

All the bases are different so there is no further simplifying possible.