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\frac{\sqrt{\frac{1}{729}}}{9}
Calculate 3 to the power of -6 and get \frac{1}{729}.
\frac{\frac{1}{27}}{9}
Rewrite the square root of the division \frac{1}{729} as the division of square roots \frac{\sqrt{1}}{\sqrt{729}}. Take the square root of both numerator and denominator.
\frac{1}{27\times 9}
Express \frac{\frac{1}{27}}{9} as a single fraction.
\frac{1}{243}
Multiply 27 and 9 to get 243.