Worksheets1.4b Powers of i & Operations with complex numbers
Total questions: 13
Worksheet time: 21mins
Name
Class
Date
1.
Simplify. Answer in a + bi form.
(10+ 15i) - (48 - 30i)
(a)
2.
Simplify. Answer in a + bi form.
(-5+3i) - (4+7i)
a)
−1−4i
b)
−9−4i
c)
−1+4i
d)
−9+4i
3.
Simplify completely.
2√-32
a)
2i√32
b)
4i√2
c)
8i√2
d)
-16i√2
4.
Simplify. Answer in a + bi form.
(1 + i) + 2 + 2i
(a)
5.
Simplify. Answer in a + bi form.
(5i)(-6 + 4i)
(a)
6.
Simplify. Answer in a + bi form.
(8-3i)(5-2i)
a)
13 - 5i
b)
34 - 31i
c)
-31 + 34i
d)
5 - 13i
7.
Simplify. Write in a + bi form.
(8 -3i)2
a)
73
b)
16 - 6i
c)
55 + 48i
d)
55 - 48i
8.
Use the Powers of i to simplify completely.
i37
a)
1
b)
i
c)
-i
d)
-1
9.
Use the Powers of i to simplify completely.
i24
(a)
10.
Simplify. Answer in a + bi form.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
11.
Simplify. Answer in a + bi form.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
12.
−20
a)
2i5
b)
−2i5
c)
20i
d)
−20i
13.
a)
b)
c)
d)
100 %
