The way you went in: climb up the rope.
To escape the tomb, see the related question.
On Nabooti Island, your challenge is to locate the 5 missing Nabooti Jewels that were taken from the Nabooti totem, which is in the Island Museum. When you have located and recovered the five jewels, return them to the totem. Get the map of the island from the totem guide at the Museum. (see related question)
Go into the Nabooti museum and talk to the tour guide at the Nabooti totem.
It is called the Nabooti African Museum. Inside are some tribal artifacts, including the (fictitious) totem of the Nabooti.
On every island, the Poptropica blimp is above Main Street. To leave Nabooti Island, return to Nabooti and walk right from the Museum.
Jewels can only be obtained when you are on Nabooti Island collecting jewels for the Nabooti Museum.
The map you need is in the Nabooti Museum. Once you have that, you can fly to any of the 6 locations besides Nabooti.
The Nabooti totem, in the museum on Nabooti Island. Five of the seven jewels were removed and are hidden in areas of the island. You have to recover the jewels and put them back on the totem to beat the island.
The entrance is just to the left of where the blimp is docked on the island.
In the museum as you first enter the island. Go to the Nabooti totem pole and accept the challenge.
They are still in the Nabooti totem. You don't have to find them.They are on the totem pole in Nabooti in the museum!
Get the map from the guide at the Nabooti totem in the museum, when you accept the quest.
Get the map from the Nabooti guide at the Museum when you accept the quest to recover the five lost jewels for the Nabooti totem.