from the previous square. You have a chess board as pictured, with squares numbered 1 through 64. You also have a huge change jar with an unlimited number of dimes. On the first square you place 1 dime. On the second square you stack 2 dimes. Then you continue, always doubling the number 63 64 10 9 2 8 (a) How many dimes will you have stacked on the 10th square? dimes (b) How many dimes will you have stacked on the nth square? dimes (c) How many dimes will you have stacked on the 64th square? (Enter your answer using scientific notation. Round the mantissa to three decimal places.) x 10 dimes (d) Assuming a dime is 1 mm thick, how high will this last pile be? (Enter your answer using scientific notation. Round the mantissa to three decimal places.) x 10 m e) The distance from the earth to the sun is approximately 150 million km. Relate the height of the last pile of dimes to this distance