Practicing Success
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What is the remainder when \( { 3 }^{ 30 } \) is divided by 7? |
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By Fermat's theorem \( { 3 }^{ 7-1 } \)≡ 1 (mod 7) \( { 3 }^{ 6 } \) ≡ 1 (mod 7) \( { 3 }^{ 30 } \) ≡ 1 (mod 7)
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