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SEAMO 2027 - Paper F - SET 09 - Self-study Question 19

SEAMO · SEAMO 2027 - Paper F - SET 09 - Self-study

Question 19

Find $n$ given
$$(1+10)(1+10^2)(1+10^4)\cdots(1+10^{2^n})=1+10+10^2+\cdots+10^{255}.$$
  1. 5
  2. 6
  3. 7
  4. 8
  5. None of the above