It needs only to think back to its stirring four-point victory against St Kilda in round one last season to understand how quickly things can turn sour.
That win over the Saints was met with understandable jubilation from the club, but come season's end it was one of just five victories for the year.
Forward Jay Schulz said that while Sunday's performance was encouraging, the players knew backing it up next weekend against Greater Western Sydney was crucial.
"It has to be a major focus each week to be able to back up and it starts with training, it starts today with our review," he said on Monday.
"We've got to train hard this week. We know GWS are going to come out hard; they gave Sydney a good run last week.
"By no means are we just going to be able to walk out there and get another win on the board.
"It's going to be a big week for us building up and we're really looking forward to it."
Schulz said his side's ball movement against the Demons was first rate and gave the club's forwards the best chance to convert.
With the Power winning centre clearances 16-9 and inside 50s 62-41, Schulz and his fellow forwards had every opportunity.
He said fast ball movement not only made it easier to score, it made it harder for Melbourne to repel the Power's attacks.
"If the ball's coming in quick we've got a better chance to be able to get off our men, and therefor the backs have got a better chance to get up the ground and shut off the exits if we turn it over."
Schulz was one of the Power's best on Sunday with four goals as well as an early contender for mark of the year.
He said he fulfilled a childhood dream by holding onto the huge pack mark, admitting he had practised taking big grabs since he was eight years old.
"It'd have to be one of the best rides I've had," he said.
"It was just one of those things. I got a decent run at it and lucky enough that 'Lobbes' (Matthew Lobbe) stood there for me underneath it.
"Knowing where [Brad Ebert] was kicking from, I knew it was going to be touch and go and after he kicked it I [thought] 'Stuff it, I'll just have a crack'.
"Any forward will tell you if you get a clean run you just go at it, so that's what I did and lucky enough it stuck."
Harry Thring is a reporter for AFL Media. Follow him on Twitter: @AFL_Harry.