Second-half substitute Vivianne Miedema scored twice as the WSL leaders put six past third-tier **Bournemouth**to reach the fifth round of the FA Cup.
Khadija Shaw found an early opener for Andrée Jeglertz side, heading home from an excellent Leila Ouahabi cross inside 19 minutes.
The Citizens made it two five minutes before the break with Hemp's drilled close-range strike finding the far corner.
Laura Coombs then netted a quick-fire double with **Shaw**the architect of both giving the visitors a compelling lead at the break.
Substitute **Miedema**then made it five before the hour, tapping home from close range before completing the rout five minutes from time, smashing past Erin Foley.
Story of the Match
Despite 24 places separating the two sides, **Bournemouth**started the better with Jenna Markham latching on to Katie James' lofted pass before striking an effort straight at Khiara Keating
City's WSL quality then prevailed with the inform **Shaw**breaking the deadlock inside 19 minutes following an excellent cross from Ouahabi.
The **Jamaican**forward then turned provider, picking out Lauren Hemp to find the far corner, doubling the visitors' lead five minutes before the break.
From there, the floodgates opened with Laura Coombs finishing off clever link-up play with Laura Blindkilde Brown and **Shaw**to make it three moments later.
**Coombs**then doubled her tally almost immediately, tapping home after **Shaw’s**cutback to make it four before the break.
With a League Cup clash against **Chelsea**on Wednesday, the visitors made changes with Shaw making way for Miedema shortly after the break.
The Dutch international made an immediate impact, making it five before the hour tapping in the rebound after **Foley**had initially denied Gracie Prior's effort.
Miedema came close to a second, soon after latching on to a Grace Clinton pass before firing straight at Foley.
However, she would get her second five minutes from time, drilling a power shot through the hands of the former Bristol City shot-stopper to complete the rout.
City thought they had added a seventh in stoppage time, but Leila Ouahabi strike was ruled offside.
**Bournemouth**nearly grabbed a late consolation with the final kick of the game, however Amber Treweek's effort fired over after **Keating**had parried.
Coming into the fixture, Shaw had already scored 12 times for the WSL Leaders, and her quality prevailed once more against a resolute **Bournemouth**side.
Shaw, who opened the scoring with a trademark header, turned chief provider for the following three goals, breaking down a compact Cherries defence at will.
In a game where City knew they would dominate the ball the Jamaican ensured that any murmuring of a cup upset quickly evaporated.
What's Next
**Bournemouth**return to league action on Sunday the 25th January when they travel to **Swindon**in the FA Women's National League South for a 14:00 KO.
Visitors City host **Chelsea**at the Joie Stadium in their League Cup Semi Final first leg on Wednesday night at 19:00 GMT.