The remainder when ((64) (64) ) (64) is divided by 7 is equal to

Mathematics · Binomial Theorem

JEE Main 2025 — 7 April, Morning Shift — Question 39

The remainder when $\left((64)^{(64)}\right)^{(64)}$ is divided by 7 is equal to

$64^{64} \Rightarrow(63+1)^{64}=63 \lambda+1$

$64^{64^{64}} \Rightarrow(63+1)^{64^{64}}$

$63 \lambda_{1}+1$

Required remainder when divided 7 is 1.

Answer key and solution verified before publishing.

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