How do you simplify #(r^-3s^5t^2)/(r^2st^-2)#?

1 Answer
May 21, 2016

#(s^4t^4)/(r^5)#

Explanation:

Using the #color(blue)"rules of indices"#

#• a^-mhArr1/a^m#

#•a^m/a^n=a^(m-n)#

#rArr(r^-3s^5t^2)/(r^2st^-2)=r^-3/r^2xxs^5/s^1xxt^2/t^-2#

#=r^(-3-2)xxs^(5-1)xxt^(2-(-2))#

#=r^-5s^4t^4=(s^4t^4)/r^5#