1.Search what procaryotic and eucaryotic cells have in common?

Both have a DNA as their genetic material.

Both are covered by a cell membrane.

Both contain RNA.

Both are made from the same basic chemicals: carbohydrates, proteins, nucleic acid, minerals, fats and vitamins.

Both have ribosomes.

Both regulated the flow of the nutrients and wastes that enter and the leave them.

Both have similar basic metabolism like photosynthesis and reproduction.

Both requiere a supply of energy.

Both are highly regulated by elaborate sensing systems("chemical noses") that make them aware of the reactions whithin them and the enviroment around them.

2.What are the differences?

Procaryotic: cells, such as basteria, where the nucleus is not separated from the rest of the cell.

Eucaryotic: cells, such as algae, fungi, plants and animals, where the nucleus is separated from the rest of the cell.