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

1 Answer
Nov 7, 2016

Answer:

#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.