The game of chess was invented about 2500 years ago in India. According to a popular legend, a king fell in love with the game so much that he promised the inventor anything as a reward.

Modestly, the inventor expressed his wish: He asked for one grain of wheat on the first square of the game of chess, two on the second, four on the third, eight on the fourth, etc. up to 64 squares.

a) How many grains were on the last square of the chessboard?


b) The mass of one wheat grain is about 0.031 g. What was the mass of the amount of wheat on the last square?


c) The world production of wheat is about [[$6,0\cdot10^8$]] tons. How many years of production of wheat was on the last square?