The Power Of Two G10:
Complete the following puzzles in sequence: 2, 4, 8, 16.
Pretty straight forward achievement to get.
In Puzzle Pack 1, competed Puzzle 2, 4, 8 and 16 in that order.
Puzzle 2 - Easy
Puzzle 4 - Easy
Puzzle 8 - Hard
Puzzle 16 - Hard
It doesn't matter if you run out of moves on any of the puzzles, just restart and you'll still get progress for the achievement. I had to redo puzzle 8 a couple of times and still unlocked the achievement. You can also use the shuffle and hint tools to help you if you get stuck. These won't affect progress.
StulockHolmes confirms it doesn't matter if you have already completed these puzzles, you can redo them, just in the correct order and still get the achievement.