Stephanie's Reflection

3) (2+4i)²
(2+4i)(2+4i)
4+8i+8i+16i²
4+16i-16i²
-12+16i²

.25 = i = complex # = √(-1)
.5 = i² = -1
.75 = i³ = -i
whole # = i^4 = i
(divide exponent by 4)
a+bi form

4) 5-2i
4+3i
5-2i 4-3i
4+3i * 4-3i
20-15i-8i+6i²
16-10i+12i-9i²
20-23i-6
16+9
14-23i
25
=14/25+23/25i

5) 2+6i 4+2i
4-2i * 4+2i
8+4i+24+12i²
16+4i²
8+28i+12
16+4
20+28i
20
=1+7/5i