JEE Mains · Maths · STD 11 - 7. binomial theoram
The remainder when \(\left((64)^{(64)}\right)^{(64)}\) is divided by 7 is equal to
- A 4
- B 1
- C 3
- D 6
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
Let \(\mathrm{N}=\left((64)^{64}\right)^{64}\) \(\mathbf{N}=(64)^{64^2}\) \(\mathbf{N}=(1+63)^{64^2}, \text { let } 64^2=\mathrm{n}\) Expanding by binomial…
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