This famous problem involves placing grains of wheat on the squares of a chessboard. A single grain of wheat is placed on the first square. Two grains are placed on the next square and four grains on the next. The board is filled with wheat, each square receiving twice that of the preceding square, until all 64 squares are filled. Of course, the number of grains of wheat become far too great to

fit on a square, or on the entire board, or even the room that holds the board.

Express the number of grains on the first square as 2 raised to some power.

One grain belongs on the first square. The number one can be expressed as