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Complex Numbers
Tests in Complex Numbers
Powers of complex numbers
Powers of complex numbers
ans:
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8
9
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4
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2
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Question 1:
1 pts
Is the following statement true or false?
i
2
=
−
1
i^2 = -1
i
2
=
−
1
Question 2:
1 pts
Is the following statement true or false?
i
4
=
1
i^4 = 1
i
4
=
1
Question 3:
2 pts
Find
i
6
i^6
i
6
.
1
1
1
−
1
-1
−
1
i
i
i
−
i
-i
−
i
Question 4:
3 pts
Find
i
23
i^{23}
i
23
.
1
1
1
−
1
-1
−
1
i
i
i
−
i
-i
−
i
Question 5:
2 pts
Find
(
1
+
i
)
2
(1+i)^2
(
1
+
i
)
2
.
2
2
2
−
2
-2
−
2
2
i
2i
2
i
−
2
i
-2i
−
2
i
Question 6:
3 pts
Find
(
1
+
i
)
10
(1+i)^{10}
(
1
+
i
)
10
.
32
32
32
−
32
-32
−
32
32
i
32i
32
i
−
32
i
-32i
−
32
i
Question 7:
2 pts
Find
(
1
−
i
)
2
(1-i)^2
(
1
−
i
)
2
.
2
2
2
−
2
-2
−
2
2
i
2i
2
i
−
2
i
-2i
−
2
i
Question 8:
3 pts
Find
(
1
−
i
)
12
(1-i)^{12}
(
1
−
i
)
12
.
64
64
64
−
64
-64
−
64
64
i
64i
64
i
−
64
i
-64i
−
64
i
Question 9:
2 pts
Find
i
−
1
i^{-1}
i
−
1
.
1
1
1
−
1
-1
−
1
i
i
i
−
i
-i
−
i
Question 10:
2 pts
Find
i
−
15
i^{-15}
i
−
15
.
1
1
1
−
1
-1
−
1
i
i
i
−
i
-i
−
i
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Pre-algebra
Polynomials
Linear equations
Quadratic equations
Radicals
Exponents and Logarithms
Trigonometry
Algebra 2
Geometry
Solid Figures
Complex numbers
Graphing complex numbers
Adding and subtracting
Multiplying
Conjugate and modulus
Dividing complex numbers
Powers of complex numbers
Sequences and series
Arithmetic series test
Geometric series test
Mixed problems
