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\left(3^{6}\right)^{-1}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
729^{-1}
Calculate 3 to the power of 6 and get 729.
\frac{1}{729}
Calculate 729 to the power of -1 and get \frac{1}{729}.