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Let’s check out your problem:
Evaluate. Write your answer as a
fraction
or
whole number
.
\newline
(
2
3
)
2
=
(\frac{2}{3})^{2}=
(
3
2
)
2
=
\newline
□
\square
□
View step-by-step help
Home
Math Problems
Grade 8
Negative Exponents
Full solution
Q.
Evaluate. Write your answer as a fraction or whole number.
\newline
(
2
3
)
2
=
(\frac{2}{3})^{2}=
(
3
2
)
2
=
\newline
□
\square
□
Identify base and exponent:
Identify the base and the exponent.
\newline
Base:
2
3
\frac{2}{3}
3
2
\newline
Exponent:
2
2
2
Write in expanded form:
Write the expression in expanded form.
\newline
(
(
2
/
3
)
2
)
((2/3)^2)
((
2/3
)
2
)
means
(
2
/
3
)
(2/3)
(
2/3
)
is multiplied by itself.
\newline
Expanded Form:
(
2
/
3
×
2
/
3
)
(2/3 \times 2/3)
(
2/3
×
2/3
)
Perform the multiplication:
Perform the multiplication.
\newline
(
2
3
×
2
3
)
=
2
×
2
3
×
3
(\frac{2}{3} \times \frac{2}{3}) = \frac{2\times2}{3\times3}
(
3
2
×
3
2
)
=
3
×
3
2
×
2
\newline
=
4
9
= \frac{4}{9}
=
9
4
More problems from Negative Exponents
Question
Write the expression using an exponent.
\newline
2
×
2
2 \times 2
2
×
2
\newline
______
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Question
Evaluate the expression.
4
−
4
2
4 - 4^2
4
−
4
2
____
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Question
x
2
=
4
x^2 = 4
x
2
=
4
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Question
x
2
=
9
x^2 = 9
x
2
=
9
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Posted 1 year ago
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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Posted 1 year ago
Question
Solve for
x
x
x
.
\newline
8
=
2
x
8 = 2^x
8
=
2
x
\newline
x
=
x =
x
=
_____
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Posted 1 year ago
Question
Solve for
x
x
x
.
\newline
6
=
7
x
6 = 7^x
6
=
7
x
\newline
x
=
x =
x
=
_____
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Posted 1 year ago
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
Get tutor help
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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