If there is a policy that $\frac{1}{3}$ rd of a population of a community has migrated every year from one place to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?

$\frac{16}{243}$ rd part of the population

$\frac{32}{243}$ rd part of the population

$\frac{32}{729}$ th part of the population

$\frac{64}{729}$ th part of the population

Kepler. Discussing PYQs. Q.no. 12

If there is a policy that 13\frac{1}{3}31​ rd of a population of a community has migrated every year from one place to some other place, what is the leftover population of that community after the sixth year, if there is no further growth in the population during this period?