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\left(\left(\frac{1}{3}\right)^{-6}\right)^{0}
To raise a power to another power, multiply the exponents. Multiply 3 and -2 to get -6.
729^{0}
Calculate \frac{1}{3} to the power of -6 and get 729.
1
Calculate 729 to the power of 0 and get 1.