FERMAT 1997 Problem 4

The product of a positive number, its square, and its reciprocal is \frac{100}{81}. What is the number?

Answer Choices
A. \frac{81}{100}
B. \frac{100}{81}
C. \frac{9}{10}
D. \frac{10}{9}
E. \frac{10\:000}{6561}