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\sqrt{729n}=\frac{2}{9}
Swap sides so that all variable terms are on the left hand side.
729n=\frac{4}{81}
Square both sides of the equation.
\frac{729n}{729}=\frac{\frac{4}{81}}{729}
Divide both sides by 729.
n=\frac{\frac{4}{81}}{729}
Dividing by 729 undoes the multiplication by 729.
n=\frac{4}{59049}
Divide \frac{4}{81} by 729.