Alyssa Healy's 72 helped Australia chase down Pakistan's 6-190 with 92 balls to spare.
Against Australia, Pakistan put on an improved display from their first-up defeat of India, rallying from 4-44 thanks to a 99-run stand from Aliya Riaz and Bismah Maroof.
With her seven-month-old daughter Fatima in the stands, Maroof struck an unbeaten 78, repelling the spin-heavy Australian attack.
However, Australia's top order made short work of the below-par total with Healy making her best World Cup score.
Captain Meg Lanning said she saw "a much better performance" from her side than Saturday's cliffhanger with England.
"In the field we really lifted," she said.
"We were pretty disciplined through our bowling innings. While we weren't taking wickets, we were keeping that run rate in check which is important."
The tournament favourites were always likely to triumph against the World Cup's lowest-ranked side and made sure of it with a professional display at Tauranga's Bay Oval.
Australia made two changes from their first-up win over England on Sunday, dropping Darcie Brown and resting Tahlia McGrath, who had a sore heel.
Into the side came Nicola Carey, making her World Cup debut, and spinner Amanda-Jade Wellington who was favoured on the turning wicket.
Despite the spin-friendly pitch, Australia's seam attack did the early damage.
Meg Schutt and Ellyse Perry removed openers Sidhra Amin and Nahida Khan, both caught at slip to leave Pakistan reeling at 2-11.
National team bolter Alana King, fresh from her star turn against England, then produced another stunner to dismiss Omaima Sohail.
The legspinner, Australia's best bowler with 2-24, squeezed a delivery through Sohail's bat and pad which struck the top of the middle stump.
Wellington then took her first international wicket in four years, with Lanning called into action in the slips again to pouch a heavy outside edge.
Riaz and skipper Maroof then frustrated Australia for 30 overs, tallying Pakistan's best Women's World Cup partnership.
Carey ended their stand in the 45th over, trapping Riaz in front.
In reply, Australia's openers enjoyed lives when they were dropped in the field before holing out.
Healy was dropped at mid-wicket off Anam Amin's spin on eight, while in the next over Nida Dar put down a simple chance to snare early-innings aggressor Rachael Haynes off her own bowling.
Haynes fell shortly after for 34 off 34 balls, while Healy cashed in before finding a fielder at long-on.
Lanning started slowly scoring three off 20 but improved to 35 off 37, before chopping on a Sohail delivery.
Beth Mooney (23* off 26) and Ellyse Perry (26* off 33) then finished off Pakistan, Mooney sealing victory with a superb cover drive.
Australia's next assignment is against hosts New Zealand in Wellington on Sunday, while Pakistan will stay in Tauranga as they hunt a first win of the tournament against South Africa on Friday.
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