As punishment for bad behavior during recess, Mrs. Busywork asked her class to multiply 10 by $\frac{1}{3}$ five times. John, however, notices that it is possible to multiply 10 by a single fraction and still get the same answer as the other students. What is this single fraction?
(A)\frac{1}{27} (B)\frac{1}{68} (C)\frac{1}{3} (D)\frac{1}{243}
D