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AMO · 2027 · Grades 8-9 · Self-study SET 24 Question 6

AMO

Question 6

Find the positive 1000th root of $10^{(10^{10})}$.
  1. $10^{10^7}$
  2. $10^{7^{10}}$
  3. $(\sqrt{10})^{(\sqrt{10})^{\sqrt{10}}}$
  4. $7^{10^{10}}$
  5. $10^{\frac{1}{10}}$