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The non-negative remainder when $9^{16}$ is divided by 5 is: |
0 1 2 3 |
1 |
The correct answer is Option () - $9\equiv4\pmod{5}.$ $9^{16}\equiv4^{16}\pmod{5}.$ $4\equiv-1\pmod{5}.$ $4^{16}\equiv(-1)^{16}=1\pmod{5}.$ $\text{Required remainder}=1.$ |
