After skittling the Hurricanes for just 86 in 17.5 overs at Bellerive Oval on Saturday, the Heat wasted no time securing themselves a fourth win in six matches, taking just 5.4 overs to race to 0-88 in reply.
Grace Harris (52 not out off 22 balls) and Charli Knott (34no off 12) looked like they were batting on a different deck to Hobart's confounded batters, who struggled to hit the ball off the square.
The 'Canes hit just six boundaries. Harris and Knott, in contrast, combined for 12 fours and four sixes.
Brisbane's 62-run powerplay set a new competition record.
Their intent was obvious as they crushed 17, 18, 20, seven and 13 off the five completed overs, Harris teeing off from the outset, before Knott applied the finishing touches, raising victory with back-to-back fours.
After going winless for 706 days, the Heat have now notched four victories in the past 10 days to consolidate third position on the ladder.
Meanwhile, reigning champions Hobart have crashed to a 0-6 record.
When captain Nicola Carey was castled by Lily Bassingthwaite, the Hurricanes were staring down the barrel at 3-11 inside their own powerplay.
That soon became a perilous 6-42.
No.9 Lauren Smith top-scored with 20 before being bowled by Knott, ending Hobart's disappointing innings.
Bassingthwaighte (3-25) was the early destroyer, while Sianna Ginger (2-8), Lucy Hamilton (2-15) and Sarah Glenn (2-16) shared the spoils.
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