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Let’s check out your problem:
What is the value of
i
3
i^3
i
3
?
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Math Problems
Algebra 2
Powers of i
Full solution
Q.
What is the value of
i
3
i^3
i
3
?
Identify Exponent:
i
3
i^3
i
3
Is exponent even or odd? Exponent:
3
3
3
3
3
3
is an odd number.
Convert to i Expression:
Step
2
2
2
: Convert
i
3
i^3
i
3
into an expression with
i
i
i
as the base.
i
3
=
i
i
m
e
s
i
2
i^3 = i imes i^2
i
3
=
iim
es
i
2
Evaluate
i
2
i^2
i
2
:
Step
3
3
3
: Evaluate
i
2
i^2
i
2
.
i
2
=
−
1
i^2 = -1
i
2
=
−
1
Substitute in Expression:
Step
4
4
4
: Substitute
i
2
i^2
i
2
with
−
1
-1
−
1
in the expression.
i
3
=
i
i
m
e
s
(
−
1
)
i^3 = i imes (-1)
i
3
=
iim
es
(
−
1
)
Simplify Result:
Step
5
5
5
: Simplify the expression.
i
3
=
−
i
i^3 = -i
i
3
=
−
i
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Question
Simplify.
\newline
8
i
+
6
i
8i + 6i
8
i
+
6
i
\newline
\newline
Write your answer in the form
a
+
b
i
a + bi
a
+
bi
.
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\newline
4
+
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i
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+
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\newline
\newline
Write your answer in the form
a
+
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i
a + bi
a
+
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Question
Simplify.
\newline
−
4
i
−
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i
\frac{{-4i}}{{-9i}}
−
9
i
−
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i
\newline
\newline
Write your simplified answer in the form
a
+
b
i
a + bi
a
+
bi
.
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Question
Combine the like terms to create an equivalent expression.
\newline
7
k
−
k
+
19
=
0
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7
k
−
k
+
19
=
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Question
Apply the distributive property to factor out the greatest common factor.
\newline
9
+
12
n
=
9+12 n=
9
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n
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Question
Solve the equation.
\newline
12
=
n
−
9
n
=
□
\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
n
=
12
=
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−
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□
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Posted 1 year ago
Question
What is the amplitude of
y
=
−
sin
(
8
x
−
3
)
+
5
y=-\sin (8 x-3)+5
y
=
−
sin
(
8
x
−
3
)
+
5
?
\newline
units
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Posted 1 year ago
Question
What is the period of
\newline
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
y=4 \sin (-2 x+7)-1 \text { ? }
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
\newline
Give an exact value.
\newline
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Posted 1 year ago
Question
3
⋅
(
3
+
20
i
)
=
3 \cdot(3+20 i)=
3
⋅
(
3
+
20
i
)
=
\newline
Your answer should be a complex number in the form
a
+
b
i
a+b i
a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
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Posted 1 year ago
Question
(
35
−
23
i
)
+
(
13
+
25
i
)
=
(35-23 i)+(13+25 i)=
(
35
−
23
i
)
+
(
13
+
25
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
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Posted 1 year ago
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