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Let’s check out your problem:
Which of the following is an integer?
\newline
Choices:
\newline
(A)
9
5
\frac{9}{5}
5
9
\newline
(B)
9
8
\frac{9}{8}
8
9
\newline
(C)
10
3
\frac{10}{3}
3
10
\newline
(D)
8
8
8
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Math Problems
Algebra 2
Multiplication with rational exponents
Full solution
Q.
Which of the following is an integer?
\newline
Choices:
\newline
(A)
9
5
\frac{9}{5}
5
9
\newline
(B)
9
8
\frac{9}{8}
8
9
\newline
(C)
10
3
\frac{10}{3}
3
10
\newline
(D)
8
8
8
Evaluate Choice (A):
Step
1
1
1
: Evaluate each choice to see if it is an integer.
\newline
Start with choice (A)
9
5
\frac{9}{5}
5
9
.
\newline
Calculate
9
9
9
divided by
5
5
5
.
\newline
9
5
=
1.8
\frac{9}{5} = 1.8
5
9
=
1.8
Evaluate Choice (B):
Step
2
2
2
: Move to choice (B)
9
8
\frac{9}{8}
8
9
. Calculate
9
9
9
divided by
8
8
8
.
9
8
=
1.125
\frac{9}{8} = 1.125
8
9
=
1.125
Evaluate Choice (C):
Step
3
3
3
: Check choice
C
C
C
10
3
\frac{10}{3}
3
10
.
\newline
Calculate
10
10
10
divided by
3
3
3
.
\newline
10
3
=
3.333
…
\frac{10}{3} = 3.333\ldots
3
10
=
3.333
…
Evaluate Choice (D):
Step
4
4
4
: Finally, evaluate choice
D
D
D
8
8
8
. Since
8
8
8
is a
whole number
, it is an integer.
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or
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or
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\newline
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\newline
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\newline
\newline
Write your answer in the form
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A
or
A
B
\frac{A}{B}
B
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, where
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A
A
and
B
B
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are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
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\newline
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Simplify.
\newline
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\newline
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\newline
w
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w
2
3
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
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\newline
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Simplify. Assume all variables are positive.
\newline
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\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
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are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
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Simplify. Assume all variables are positive.
\newline
x
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x
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\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
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