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The least non-negative remainder when 32003^{200} is divided by 8 is :

Solution

✅ Correct Option: 4

32=9≡1(mod8)3^2=9\equiv 1\pmod 8.

So 3200=(32)100≡1100=1(mod8)3^{200}=(3^2)^{100}\equiv 1^{100}=1\pmod 8.

The remainder is 1.

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