Take a pieces of paper and fold it in half unfold the paper and count the squares folding the paper in half or into two pieces equals the base two. folding it once is the power of one. Now fold the paper in half again. the base is still two because you are still folding the paper into two pieces, but now you are to the second power of 2 to the second power. unfold the paper you have four parts. fold the paper in half a third time. Now you have base 2 to the third power unfold the paper how many parts do you expect. Count them there are 8 Two to the third power is eight.
Now take a piece of paper and fold it into thirds. Because you are folding it into three pieces this is base three. It is a power of one because you have folded it once. unfold it and count the three parts. Now take the paper and fold it into thirds again. This time the base is still three but the power is now two. unfold the paper and count the squares. You will find you have 9.