Question

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

Answer 1

`(r^3t^7)/v^2`

Explanation:

Apply the law of indices for negative exponents:

`x^-m = 1/x^m " "and" " 1/y^-n = y^n`

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

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

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