How do you simplify (5q^-2t^6)/(10q^2t^-4)?

1 Answer
May 18, 2017

color(blue)(t^10/(2q^4)

Explanation:

(cancel5^color(blue)1q^-2t^6)/(cancel10^color(blue)2q^2t^-4)

:.=t^(6+4)/(2q^(2+2))

color(red)({t^6/t^-4=(t^6/1)/(1/t^4)=t^6/1 xx t^4/1=t^(6+4)=t^10}

color(red)({q^-2/q^2=(1/q^2)/((q^2)/1)=1/q^2 xx 1/q^2=1/q^(2+2)=1/q^4}

:.=color(blue)(t^10/(2q^4)