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Remainder when 643232 is divided by 9 is equal to | null (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

Remainder when $64^{32^{32}}$ is divided by 9 is equal to ________.

Correct Answer:

1

Explanation

Let

32^{32}=\mathrm{t}

\begin{aligned} & 64^{32^{32}}=64^t=8^{2 t}=(9-1)^{2 t} \\ & =9 \mathrm{k}+1 \end{aligned}

Hence remainder

=1

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