What is the remainder when \(3^{100}\) is divided by 7?
A. 4
B. 5
C. 2
D. 3
1 answer
Best answer
Answer: A. 4
Answer: (A) 4
\(3^6 = 729\) leaves remainder 1 on division by 7. 100 = 6 × 16 + 4, so \(3^{100}\) leaves the same remainder as \(3^4 = 81\).
81 ÷ 7 leaves remainder 4.
Doubtly AI
· 27 Oct 2026
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