Former Southampton winger Dusan Tadic opened the scoring after 18 minutes.
Noussair Mazraoui and Hakim Ziyech then added a goal each before half-time,
Ajax then added another five in the second half as they accelerated the scoring.
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Ziyech scoed two more either side of Daley Blind's first goal to grab a hat-trick, the first of his career.
With just over 20 minutes remaining, Blind added to more to get thtree of his own.
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