Evaluate 3i11 6i3 820 i1Solutioni1 i i2 1 i3 i i4 1 3i

Evaluate 3i^11 + 6i^3 + 8/¡^20 +i^-1

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

3i^(11) = 3i^8 * i^3 = 3 * (1)^2 * (-i) = -3i

6i^3 = 6(-1)i = -6i

8/i^(20) = 8/(i^4)^5 = 8

1/i = 1/i * i/i = i/i^2 = i/(-1) = -i

Hence the final answer will be (8-10i)