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\left(\left(a^{-3}\times 2\right)^{0}\right)^{6}
To multiply powers of the same base, add their exponents. Add 2 and -5 to get -3.
1^{6}
Calculate a^{-3}\times 2 to the power of 0 and get 1.
1
Calculate 1 to the power of 6 and get 1.