Binomial Theorem Question 7

Question 7 - 2024 (29 Jan Shift 2)

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

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Answer (1)

Solution

Let $32^{32}=t$

$64^{32^{32}}=64^{t}=8^{2 t}=(9-1)^{2 t}$

$=9 k+1$

Hence remainder $=1$