Portsmouth manager Guy Whittingham hailed strikers Patrick Agyemang and David Connolly after each scored in an emphatic 3-0 win over 10-man Morecambe.
Jed Wallace opened the scoring for Pompey in the 20th minute and Morecambe never looked like seriously threatening the home side's dominance or getting back into the game.
Connolly's third goal of the season came soon after when he swept home a rebound after a shot from Andy Barcham had been blocked.
Morecambe, who lost first-choice goalkeeper Barry Roche to illness during the warm-up, saw defender Andy Wright sent off in the 38th minute for a second yellow card offence, and the match was soon over as the powerful Agyemang fired home a third.
For Portsmouth it was a first win of the season since being relegated to League Two while Jim Bentley's Morecambe are still looking for their maiden success after being overwhelmed in the opening 45 minutes when Pompey were at their rampant best.
Whittingham said: "I am delighted with our first win and I hope we can push on from here. I have to say we have played well in our previous two league matches without getting the results.
"In the first half everything fell into place but there is no sense of euphoria in the dressing room because the lads felt we should have gone in the second half and got one or two more.
"Our front two of Agyemang and Connolly have a great understanding. They have got five goals between them now but they know they have to keep up that standard because there are players itching to replace them if they fail.
"Barcham was unplayable. He was full of confidence and is proving a real asset already."
Morecambe boss Bentley felt Wright got his just desserts with his dismissal.
"I think the red card was fair. Andy gave the referee no choice but to send him off, which is very disappointing," he said.
"He gave away three silly fouls, diving in when he need not have done and that obviously did nothing for the team at that stage.
"Blink and we were 3-0 down, that is how quick it was. The game was dead and buried by half-time but at least we had a go in the second half, even if the fear factor had long gone. There is no fear when you are 3-0 down.
"People say to me about playing Newcastle in the League Cup, but it had no effect here and I, for one, am not even thinking about Newcastle. It is our league form which is the worry.
"We only have a small squad and some of the lads are coming back to fitness but there was no point in rushing them back before they were ready."