The first student wrote the number $1$ on the board, the second student wrote the number $2$, and the third one and each of the following students wrote a number that was the quotient of the number written just before the last number and the last number. What did the tenth student write? 
选项为:A:$\frac1{2^{10}}$  B:$$256$$  C:$\frac1{2^{13}}$  D:$$1024$$  E:$$2^{34}$$  请回答其中一个选项.