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Let’s check out your problem:
Which sign makes the statement true?
\newline
−
1
3
?
−
3
12
-\frac{1}{3} ? -\frac{3}{12}
−
3
1
?
−
12
3
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
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Math Problems
Grade 8
Evaluate powers with negative exponents
Full solution
Q.
Which sign makes the statement true?
\newline
−
1
3
?
−
3
12
-\frac{1}{3} ? -\frac{3}{12}
−
3
1
?
−
12
3
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
Compare fractions:
Step
1
1
1
: Compare the two
fractions
−
1
3
-\frac{1}{3}
−
3
1
and
−
3
12
-\frac{3}{12}
−
12
3
.
\newline
First, simplify
−
3
12
-\frac{3}{12}
−
12
3
to its lowest terms.
\newline
−
3
12
=
−
1
4
-\frac{3}{12} = -\frac{1}{4}
−
12
3
=
−
4
1
Simplify
−
3
12
-\frac{3}{12}
−
12
3
:
Step
2
2
2
: Compare
−
1
3
-\frac{1}{3}
−
3
1
and
−
1
4
-\frac{1}{4}
−
4
1
. Since
−
1
3
-\frac{1}{3}
−
3
1
is closer to zero than
−
1
4
-\frac{1}{4}
−
4
1
,
−
1
3
-\frac{1}{3}
−
3
1
is greater than
−
1
4
-\frac{1}{4}
−
4
1
.
More problems from Evaluate powers with negative exponents
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Write the expression using an exponent.
\newline
2
×
2
2 \times 2
2
×
2
\newline
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Evaluate the expression.
4
−
4
2
4 - 4^2
4
−
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x
2
=
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x^2 = 4
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x
2
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9
x^2 = 9
x
2
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Question
Solve for x.
\newline
x
2
=
0
x^2 = 0
x
2
=
0
\newline
Write your answer in simplified, rationalized form.
\newline
x
=
x =
x
=
_____ or
x
=
x =
x
=
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Question
Solve for
x
x
x
.
\newline
8
=
2
x
8 = 2^x
8
=
2
x
\newline
x
=
x =
x
=
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Question
Solve for
x
x
x
.
\newline
6
=
7
x
6 = 7^x
6
=
7
x
\newline
x
=
x =
x
=
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Question
Select the equivalent expression.
\newline
(
(
8
−
5
)
/
(
2
−
2
)
)
−
4
=
?
((8^{-5})/(2^{-2}))^{-4}=?
((
8
−
5
)
/
(
2
−
2
)
)
−
4
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
(
8
20
)
/
(
2
8
)
(8^{20})/(2^{8})
(
8
20
)
/
(
2
8
)
\newline
(B)
\newline
(
2
6
)
/
(
8
9
)
(2^{6})/(8^{9})
(
2
6
)
/
(
8
9
)
\newline
(C)
\newline
(
1
)
/
(
8
⋅
2
2
)
(1)/(8\cdot 2^{2})
(
1
)
/
(
8
⋅
2
2
)
Get tutor help
Posted 11 months ago
Question
Select the equivalent expression.
\newline
(
b
7
4
5
)
−
3
=
?
\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?
(
4
5
b
7
)
−
3
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
b
21
4
15
\frac{b^{21}}{4^{15}}
4
15
b
21
\newline
(B)
4
15
b
21
\frac{4^{15}}{b^{21}}
b
21
4
15
\newline
(C)
b
−
21
⋅
4
−
15
b^{-21}\cdot 4^{-15}
b
−
21
⋅
4
−
15
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Posted 1 year ago
Question
Select the equivalent expression.
\newline
(
3
3
⋅
6
6
)
−
3
=
(3^{3}\cdot6^{6})^{-3}=
(
3
3
⋅
6
6
)
−
3
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
3
9
⋅
6
18
\frac{1}{3^{9}\cdot6^{18}}
3
9
⋅
6
18
1
\newline
(B)
6
18
3
9
\frac{6^{18}}{3^{9}}
3
9
6
18
\newline
(C)
3
9
6
18
\frac{3^{9}}{6^{18}}
6
18
3
9
Get tutor help
Posted 1 year ago
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