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\left(\frac{1}{\frac{1}{27}}\right)^{-2}
Calculate 3 to the power of -3 and get \frac{1}{27}.
\left(1\times 27\right)^{-2}
Divide 1 by \frac{1}{27} by multiplying 1 by the reciprocal of \frac{1}{27}.
27^{-2}
Multiply 1 and 27 to get 27.
\frac{1}{729}
Calculate 27 to the power of -2 and get \frac{1}{729}.