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\left(\frac{4^{-1}}{4^{-1}}\right)^{2}
To multiply powers of the same base, add their exponents. Add 2 and -3 to get -1.
1^{2}
Divide 4^{-1} by 4^{-1} to get 1.
1
Calculate 1 to the power of 2 and get 1.