1) Simplify: 23i
23i = 23i×ii = 2i−3
2) Simplify: 4i + 1
4i + 1 = 4i + 1×i − 1i − 1 = 4i − 4−1 − 1 = 4i − 4−2 = 2 − 2i
3) Simplify: 6i − 1
6i − 1 = 6i − 1×i + 1i + 1 = 6i + 6−1 − 1 = 6i + 6−2 = −3 − 3i
4) Simplify: 6i
6i = 6i×ii = 6i−1 = −6i
5) Simplify: 23i + 1
23i + 1 = 23i + 1×3i − 13i − 1 = 6i − 2−9 − 1 = −6i10 + 210 = −3i5 + 15
6) Simplify: 14i + 2
14i + 2 = 14i + 2×4i − 24i − 2 = 4i − 2−16 − 4 = 4i − 2−20 = −4i20 + 220 = −i5 + 110
7) Simplify: −3i−2 − 3i
−3i−2 − 3i = −3i−2 − 3i×−2 + 3i−2 + 3i = 6i + 94 + 9 = 6i + 913 = 6i13 + 913
8) Simplify: 2i + 5i − 6
2i + 5i − 6 = 2i + 5i − 6×i + 6i + 6 = −2 + 12i + 5i + 30−1 − 36 = 28 + 17i−37 = −2837 − 17i37
9) Simplify: 3 − i−2 + 4i
3 − i−2 + 4i = 3 − i−2 + 4i×−2 − 4i−2 − 4i = −6 − 12i + 2i − 44 − (−16) = −10 − 10i20 = −1020 − 10i20 = −12 − i2
10) Simplify: 8 − 3i−i
8 − 3i−i = 8 − 3i−i×ii = 8i + 3−(−1) = 8i + 3