## Task 6 - V00806

Fritz has placed his foot on a $0.1 \mathrm{~mm}$ thick sheet of paper and is wondering how high he would stand if he folded it fifty times.

Can you tell him?
If it were folded 50 times, the folded stack would theoretically be $2^{50} \cdot 0.1 \mathrm{~mm} \approx 112000000 \mathrm{~km}$ high. However, this is not possible. In general, a sheet can be folded a maximum of 8 times. The world record with special foil is $11 \mathrm{times}$.