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MathNet 2009-part-03 — 175 problems (EN–VI) Question 68

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 68

If $a = 2^{-1}$ and $b = \frac{2}{3}$, what is the value of $\left(a^{-1} + b^{-1}\right)^{-2}$?