The Light Blues were 4-0 to the good at the interval thanks to Danny Wilson, Kenny Miller and a Martyn Waghorn double, but Livi pulled one back after the break with no further scoring from the home side.
The first-half saw Rangers play some sensational football, however, and Law reckons the manner in which they started the game helped them achieve that.
The Englishman said: “We came out brightly today, and started really well with a high tempo. It always helps when you score early-on as the games are always easier when you can do that.
“The conditions were difficult, but we put the game to bed pretty much in the first half.”
The second half was a different story, though Law believes it was always going to be difficult to repeat their performance from the first period.
He added: “We started the second half slowly and we were quite sloppy with some misplaced passes here and there and then they scored. So we are slightly disappointed with the second half, and moving forward it’s something we will learn from.
“The performance in the first half was fantastic though, and we felt like we had won it there. It’s always difficult to come out and replicate that – you see it time and time again in football where you think it could be 7 or 8-0, and the team then comes out and doesn’t score again.
“At the end of the day though, it’s a 4-1 victory against a team that has been difficult for us this season.”