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Algebra 1HardExponents

Exponents · Hard problem

Evaluate (2−1+3−1)−2−(2−1−3−1)−1\left(2^{-1}+3^{-1}\right)^{-2} - \left(2^{-1}-3^{-1}\right)^{-1}. Give your answer as a fraction in lowest terms.