Liverpool set up a fourth-round FA Cup tie against West Ham as they easily saw off League Two Exeter at Anfield.
It was one-way traffic as the hosts dominated, monopolising possession and their pace was too much for Exeter.
Joe Allen put the Reds ahead, sweeping home from close range after good work by Brad Smith and Christian Benteke.
Sheyi Ojo, put through by Jordon Ibe, brilliantly curled in beyond Robert Olejnik, while Joao Teixeira sealed the victory with a calm finish.
Jurgen Klopp's men will now prepare to host West Ham, a side who have comfortably beaten them twice in the league this season, on 30 January.
Klopp fielded a slightly more experienced line-up for this replay than the one at Exeter, which had just three players boasting more than four first-team appearances.
Adam Bogdan paid the price for his poor performance in the original tie with regular goalkeeper Simon Mignolet stepping in as one of three changes, though the Belgium international was largely unemployed.
Allen, Jose Enrique and Ibe added Premier League know-how, though all eyes were on £32.5m striker Benteke who has been a substitute for many of Liverpool's biggest games this season.
The striker, criticised for his performances since his summer arrival, again failed to impose himself on a match. He had a number of chances - heading over the crossbar and into the side-netting, messing up when clear on goal after the break while failing to hit the target when clean through in stoppage time.
However, the 25-year-old - who Klopp said this week had a long-term future at Anfield - did play a part in the opening goal, feeding Smith as the Australian charged forward to cut back to Allen, and assisted Teixeira as the Spaniard struck from 12 yards.
Benteke received the support of his manager after the match, with Klopp blaming referee Neil Swarbrick for making life difficult for the Belgium international.
"I saw Christian after the game, he was in good shape," said the German. "The ref didn't help, it wasn't easy for him. There were a lot of times when Christian was penalised for a foul and I didn't see a foul. He worked for the spaces in and around the box and it would have been nice for him to score but it's OK.
"Our next opponent is West Ham. We didn't play well at West Ham so we have to correct it and show we can do better - but it's a good game and a very important tournament for us."
Academy product Jon Flanagan, absent for 18 months because of injury, was introduced in the 51st minute and received a standing ovation from the 43,000 crowd.
The 23-year-old, a key player during the club's Premier League title challenge under Brendan Rodgers two season ago, has undergone two separate knee operations since he last played for the team in May 2014.
Former Reds captain Steven Gerrard said the team had missed the full-back and had predicted earlier in the day on social media that Anfield would "erupt" should Flanagan be introduced.
A number of Klopp's young players caught the eye. Ibe's pace gave Exeter problems and the 20-year-old twice went close, hitting the crossbar on one occasion with the ball agonisingly dropping on the line. Ojo, Cameron Brannagan and Smith also showed much promise.
Before the match Exeter manager Paul Tisdale had urged his team to play with "no fear", but they were not allowed to play at all as Liverpool pressed with urgency, forcing the visitors to retreat into their own half, in the first half especially.
Playing on a better surface, the League Two side were unable to rattle their opponents like they had done at St James Park where they were 2-1 up until Smith's late equaliser.
Tisdale's men, 14th in League Two having won just one of their last seven games, lacked the pace to trouble Liverpool's much-maligned defence but they did improve after the break as attacking substitutions were made, with Tom Nichols, Will Hoskins and David Wheeler introduced in a switch to 4-4-2.
But there is a silver lining for the Devon side, whose chairman Julian Tagg described the competition as the club's "lifeblood", as their trip to Anfield is estimated to have earned them £700,000.
Paul Tisdale: "I'm disappointed but not surprised. We have to be realistic, it was a big challenge. I knew I had to pace the team. We couldn't overdo it too early. We didn't get to grips with the game in the first 20 minutes.
"But I'm proud of the players, a lot of them excelled. The key was to show purpose but we took too long to get there. We had our chance in the first tie and the reality was that it was going to be a big challenge.
"The second goal killed the game, but it was a good experience for the players and a great day for the club. The money helps, we're a very small club. We very rarely get these windfalls so it will be put to good use."
Liverpool will turn their attention to the Premier League where Klopp is expected to make a number of changes for the trip to Norwich on January 23. It is back to reality for Exeter who host play-off hopefuls Accrington in League Two on Saturday.
Full Time Match ends, Liverpool 3, Exeter City 0.
90:00 +2:19 Full timeFull Time Second Half ends, Liverpool 3, Exeter City 0.
90:00 +1:19Foul by Brad Smith (Liverpool).
90:00 +1:19Tom Nichols (Exeter City) wins a free kick on the right wing.
90:00 +0:49Attempt blocked. Arron Davies (Exeter City) right footed shot from the right side of the box is blocked. Assisted by Tom Nichols.
89:43João Teixeira (Liverpool) wins a free kick in the defensive half.
89:43Foul by Christian Ribeiro (Exeter City).
89:19Foul by Brad Smith (Liverpool).
89:19David Wheeler (Exeter City) wins a free kick on the right wing.
88:21Attempt saved. João Teixeira (Liverpool) right footed shot from outside the box is saved in the centre of the goal. Assisted by Brad Smith.
87:22Attempt saved. Christian Benteke (Liverpool) right footed shot from outside the box is saved in the centre of the goal. Assisted by Cameron Brannagan.
85:27Attempt blocked. Tom Nichols (Exeter City) right footed shot from the right side of the box is blocked. Assisted by Christian Ribeiro with a cross.
83:45Offside, Liverpool. Kevin Stewart tries a through ball, but Christian Benteke is caught offside.
81:09 Goal scoredGoal! Goal! Liverpool 3, Exeter City 0. João Teixeira (Liverpool) right footed shot from the centre of the box to the centre of the goal. Assisted by Christian Benteke with a through ball.
80:02Attempt blocked. Pedro Chirivella (Liverpool) left footed shot from outside the box is blocked. Assisted by Sheyi Ojo.
79:03Foul by Christian Benteke (Liverpool).
79:03Jordan Moore-Taylor (Exeter City) wins a free kick in the defensive half.
78:52 SubstitutionSubstitution Substitution, Liverpool. Pedro Chirivella replaces Jordon Ibe.
78:06Sheyi Ojo (Liverpool) wins a free kick in the defensive half.
78:06Foul by Craig Woodman (Exeter City).
Attempt blocked. Lee Holmes (Exeter City) left footed shot from outside the box is blocked.
75:51Foul by Christian Benteke (Liverpool).
75:51Troy Brown (Exeter City) wins a free kick in the defensive half.
73:52 Goal scoredGoal! Goal! Liverpool 2, Exeter City 0. Sheyi Ojo (Liverpool) left footed shot from the right side of the box to the bottom left corner. Assisted by Jordon Ibe.
71:07Attempt saved. Sheyi Ojo (Liverpool) left footed shot from the centre of the box is saved in the bottom right corner. Assisted by Cameron Brannagan.
71:04Attempt missed. Cameron Brannagan (Liverpool) right footed shot from outside the box misses to the right.
71:02Attempt blocked. João Teixeira (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Jordon Ibe.
68:45Attempt blocked. Alex Nicholls (Exeter City) left footed shot from outside the box is blocked.
68:01Foul by Kevin Stewart (Liverpool).
68:01Lee Holmes (Exeter City) wins a free kick in the attacking half.
64:54 SubstitutionSubstitution Substitution, Liverpool. Sheyi Ojo replaces Joe Allen.
63:28 SubstitutionSubstitution Substitution, Exeter City. David Wheeler replaces Matt Oakley.
63:02Attempt missed. Jordon Ibe (Liverpool) left footed shot from the centre of the box misses to the left. Assisted by João Teixeira.
61:38Attempt saved. Lee Holmes (Exeter City) header from the centre of the box is saved in the bottom right corner. Assisted by Will Hoskins with a cross.
60:52Foul by Christian Benteke (Liverpool).
60:52Jordan Moore-Taylor (Exeter City) wins a free kick in the attacking half.
59:39Corner, Exeter City. Conceded by Brad Smith.
59:13Attempt saved. Christian Benteke (Liverpool) right footed shot from the centre of the box is saved in the centre of the goal. Assisted by Cameron Brannagan.
55:40Christian Benteke (Liverpool) wins a free kick in the attacking half.
55:40Foul by Troy Brown (Exeter City).
54:47Tiago Ilori (Liverpool) wins a free kick in the defensive half.
54:47Foul by Lee Holmes (Exeter City).
53:57Attempt missed. João Teixeira (Liverpool) right footed shot from the centre of the box is too high. Assisted by Cameron Brannagan with a cross following a corner.
53:21Corner, Liverpool. Conceded by Troy Brown.
53:18Jordon Ibe (Liverpool) hits the bar with a left footed shot from the right side of the box. Assisted by Cameron Brannagan following a corner.
52:52Corner, Liverpool. Conceded by Troy Brown.
50:11 SubstitutionSubstitution Substitution, Liverpool. Jon Flanagan replaces Connor Randall.
49:41Offside, Liverpool. Tiago Ilori tries a through ball, but Jordon Ibe is caught offside.
49:37Attempt missed. Kevin Stewart (Liverpool) left footed shot from outside the box misses to the right following a corner.
48:49Corner, Liverpool. Conceded by Christian Ribeiro.
45:32Attempt missed. Alex Nicholls (Exeter City) left footed shot from outside the box is high and wide to the left.
45:00Second Half begins Liverpool 1, Exeter City 0.
45:00 SubstitutionSubstitution Substitution, Exeter City. Tom Nichols replaces Clinton Morrison.
45:00 SubstitutionSubstitution Substitution, Exeter City. Will Hoskins replaces Danny Butterfield.
45:00 +1:10 Half timeHalf Time First Half ends, Liverpool 1, Exeter City 0.
44:23Attempt blocked. Christian Benteke (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Joe Allen.
43:43Foul by Cameron Brannagan (Liverpool).
43:43Matt Oakley (Exeter City) wins a free kick in the defensive half.
41:48Brad Smith (Liverpool) wins a free kick on the left wing.
41:48Foul by Matt Oakley (Exeter City).
40:03Foul by Cameron Brannagan (Liverpool).
40:03Craig Woodman (Exeter City) wins a free kick in the defensive half.
39:10Jordon Ibe (Liverpool) hits the bar with a left footed shot from the right side of the box. Assisted by Cameron Brannagan following a corner.
38:52Corner, Liverpool. Conceded by Troy Brown.
38:30Corner, Liverpool. Conceded by Robert Olejnik.
38:27Attempt saved. Jordon Ibe (Liverpool) right footed shot from outside the box is saved in the bottom right corner.
37:54Corner, Liverpool. Conceded by Danny Butterfield.
37:53Attempt blocked. Joe Allen (Liverpool) right footed shot from the centre of the box is blocked. Assisted by Jordon Ibe.
34:26Offside, Exeter City. Craig Woodman tries a through ball, but Troy Brown is caught offside.
33:49Foul by Brad Smith (Liverpool).
33:49Alex Nicholls (Exeter City) wins a free kick on the right wing.
32:01Foul by Christian Benteke (Liverpool).
32:01Christian Ribeiro (Exeter City) wins a free kick in the defensive half.
28:54Attempt missed. Cameron Brannagan (Liverpool) right footed shot from outside the box is just a bit too high. Assisted by Brad Smith.
27:08Foul by Joe Allen (Liverpool).
27:08Lee Holmes (Exeter City) wins a free kick in the defensive half.
25:41Foul by José Enrique (Liverpool).
25:41Jordan Moore-Taylor (Exeter City) wins a free kick in the defensive half.
24:58Corner, Liverpool. Conceded by Robert Olejnik.
24:57Attempt saved. Cameron Brannagan (Liverpool) right footed shot from outside the box is saved in the bottom left corner. Assisted by Christian Benteke.
24:52Attempt blocked. Christian Benteke (Liverpool) right footed shot from outside the box is blocked.
23:37Joe Allen (Liverpool) wins a free kick in the attacking half.
23:37Foul by Arron Davies (Exeter City).
22:05Attempt missed. Christian Benteke (Liverpool) header from the right side of the six yard box is close, but misses to the right. Assisted by Cameron Brannagan with a cross following a corner.
21:34Corner, Liverpool. Conceded by Troy Brown.
20:42Offside, Exeter City. Craig Woodman tries a through ball, but Lee Holmes is caught offside.
19:43Attempt missed. Christian Benteke (Liverpool) right footed shot from outside the box misses to the right.
19:27Attempt saved. Jordon Ibe (Liverpool) right footed shot from outside the box is saved in the bottom left corner. Assisted by Connor Randall.
18:22Christian Benteke (Liverpool) hits the bar with a header from very close range. Assisted by João Teixeira with a cross.
16:03Foul by Brad Smith (Liverpool).
16:03Matt Oakley (Exeter City) wins a free kick in the defensive half.
9:40 Goal scoredGoal! Goal! Liverpool 1, Exeter City 0. Joe Allen (Liverpool) right footed shot from very close range to the bottom left corner. Assisted by Brad Smith.
7:49Joe Allen (Liverpool) wins a free kick in the defensive half.
7:49Foul by Clinton Morrison (Exeter City).
4:30Attempt saved. Christian Benteke (Liverpool) right footed shot from the centre of the box is saved in the bottom right corner. Assisted by Kevin Stewart with a headed pass.
3:45Corner, Liverpool. Conceded by Christian Ribeiro.
3:15Corner, Liverpool. Conceded by Craig Woodman.
1:00Foul by Alex Nicholls (Exeter City).
1:00Tiago Ilori (Liverpool) wins a free kick in the defensive half.
0:00First Half begins.
0:00Lineups are announced and players are warming up.
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