Question

((1/7)^-1 - (1/5)^-1)^-1

Answer 1

Answer:

$(( \frac{1}{7} {)}^{ - 1} - ( \frac{1}{5} {)}^{ - 1}) \\ lcm \: of \: 7and5 = 35 \\ (\frac{35}{35} {)}^{ - 1} - ( \frac{35}{35}) {}^{ - 1} \\ in \: subtraction \: powers \: get \: subtracted \\ (1) {}^{ - 1 - 1} \\ (1) {}^{ - 2}or (- 1) \times ( - 1) = 1$

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