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Let’s check out your problem:
Select the expressions that are equivalent to
4
m
+
7
m
4m + 7m
4
m
+
7
m
.
\newline
Multi-select Choices:
\newline
(A)
10
m
+
2
m
10m + 2m
10
m
+
2
m
\newline
(B)
6
m
+
3
m
+
2
m
6m + 3m + 2m
6
m
+
3
m
+
2
m
\newline
(C)
m
×
11
m \times 11
m
×
11
\newline
(D)
m
11
m^{11}
m
11
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Math Problems
Precalculus
Powers of i
Full solution
Q.
Select the expressions that are equivalent to
4
m
+
7
m
4m + 7m
4
m
+
7
m
.
\newline
Multi-select Choices:
\newline
(A)
10
m
+
2
m
10m + 2m
10
m
+
2
m
\newline
(B)
6
m
+
3
m
+
2
m
6m + 3m + 2m
6
m
+
3
m
+
2
m
\newline
(C)
m
×
11
m \times 11
m
×
11
\newline
(D)
m
11
m^{11}
m
11
Combine Like Terms:
Combine like terms in the expression
4
m
+
7
m
4m + 7m
4
m
+
7
m
.
\newline
Calculation:
4
m
+
7
m
=
11
m
4m + 7m = 11m
4
m
+
7
m
=
11
m
Compare with Choice (A):
Compare the result with choice (A)
10
m
+
2
m
10m + 2m
10
m
+
2
m
. Calculation:
10
m
+
2
m
=
12
m
10m + 2m = 12m
10
m
+
2
m
=
12
m
Compare with Choice (B):
Compare the result with choice (B)
6
m
+
3
m
+
2
m
6m + 3m + 2m
6
m
+
3
m
+
2
m
. Calculation:
6
m
+
3
m
+
2
m
=
11
m
6m + 3m + 2m = 11m
6
m
+
3
m
+
2
m
=
11
m
Compare with Choice (C):
Compare the result with choice (C)
m
×
11
m \times 11
m
×
11
.
\newline
Calculation:
m
×
11
=
11
m
m \times 11 = 11m
m
×
11
=
11
m
Compare with Choice (D):
Compare the result with choice (D)
m
11
m^{11}
m
11
.
\newline
Calculation:
m
11
m^{11}
m
11
is not equivalent to
11
m
11m
11
m
, it represents
m
m
m
raised to the power of
11
11
11
.
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\newline
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Write your answer in the form
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What is the amplitude of
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Question
What is the period of
\newline
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Question
3
⋅
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3
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=
\newline
Your answer should be a complex number in the form
a
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i
a+b i
a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
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(
35
−
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(
13
+
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i
)
=
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35
−
23
i
)
+
(
13
+
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i
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\newline
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(
a
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)
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