How do you simplify #\frac { r s ^ { - 1} t ^ { 9} } { r ^ { 5} s ^ { - 1} t ^ { - 4} }#?
1 Answer
Feb 18, 2017
Explanation:
Using the
#color(blue)"laws of exponents"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(a^-m=1/a^m" and " a^m/a^n=a^(m-n))color(white)(2/2)|)))#
#rArr(r^1s^-1t^9)/(r^5s^-1t^-4)#
#=r^1/r^5xxcancel(s^-1)^1/cancel(s^-1)^1xxt^9/t^-4#
#=r^((1-5))xx1xxt^((9-(-4)))#
#=r^-4xx1xxt^(13)#
#=1/r^4xxt^(13)/1#
#=t^(13)/r^4#
