While there was a strange build-up to the game, with the venue being changed just 48 hours before kick-off, the on-field action got off to a predictable start.
Arsenal, who had been bossing possession, managed to find a good combination between Ramsey and Nketiah on the edge of the box.
The young striker was through on goal, but couldn't get a shot away as the Vorskla goalkeeper dived in to get it away.
However, the ball only went as far as Smith-Rowe, who had a simple finish in to an empty net with goalkeeper Shust sprawled on the turf after the inital save.