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PIMSO 2021 - Mathematics - Grade 10 - National Round Question 9

PIMSO Maths · PIMSO 2021 - Mathematics - Grade 10 - National Round

Question 9

Simplify $(x^{2048}+1)(x^{1024}+1)(x^{512}+1)\ldots(x^4+1)(x^2+1)(x+1)$ and find its value when x=2. Express your answer in exponential form.

Input format: use sqrt(...) for square roots, * for multiplication and ^ for powers.