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1972 AMC 12 Question 5

AMC12 · 1972 AMC 12

Question 5

From among $2^{\frac{1}{2}},$ $3^{\frac{1}{3}},$ $8^{\frac{1}{8}},$ $9^{\frac{1}{9}},$ those which have the greatest and the next to the greatest values, in that order, are:
  1. $3^{\frac{1}{3}},$ $2^{\frac{1}{2}}$
  2. $3^{\frac{1}{3}},$ $8^{\frac{1}{8}}$
  3. $3^{\frac{1}{3}},$ $9^{\frac{1}{9}}$
  4. $8^{\frac{1}{8}},$ $9^{\frac{1}{9}}$
  5. None of these