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Let’s check out your problem:
Which is equal to
5
−
8
5^{-8}
5
−
8
?
\newline
Choices:
\newline
(A)
−
(
−
5
)
8
-(-5)^8
−
(
−
5
)
8
\newline
(B)
(
−
5
)
8
(-5)^8
(
−
5
)
8
\newline
(C)
1
5
8
\frac{1}{5^8}
5
8
1
\newline
(D)
−
1
5
−
8
-\frac{1}{5^{-8}}
−
5
−
8
1
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Math Problems
Grade 8
Understanding negative exponents
Full solution
Q.
Which is equal to
5
−
8
5^{-8}
5
−
8
?
\newline
Choices:
\newline
(A)
−
(
−
5
)
8
-(-5)^8
−
(
−
5
)
8
\newline
(B)
(
−
5
)
8
(-5)^8
(
−
5
)
8
\newline
(C)
1
5
8
\frac{1}{5^8}
5
8
1
\newline
(D)
−
1
5
−
8
-\frac{1}{5^{-8}}
−
5
−
8
1
Understand
5
−
8
5^{-8}
5
−
8
:
Understand the expression
5
−
8
5^{-8}
5
−
8
.
5
−
8
5^{-8}
5
−
8
means
1
1
1
divided by
5
5
5
raised to the power of
8
8
8
. Calculation:
5
−
8
=
1
/
5
8
5^{-8} = 1 / 5^8
5
−
8
=
1/
5
8
Calculate
5
−
8
5^{-8}
5
−
8
:
Match the expression
1
/
5
8
1 / 5^8
1/
5
8
with the given choices.
\newline
Choices are:
\newline
(A)
−
(
−
5
)
8
-(-5)^8
−
(
−
5
)
8
\newline
(B)
(
−
5
)
8
(-5)^8
(
−
5
)
8
\newline
(C)
1
/
5
8
1/5^8
1/
5
8
\newline
(D)
−
1
/
5
−
8
-1/5^{-8}
−
1/
5
−
8
\newline
Correct match is (C)
1
/
5
8
1/5^8
1/
5
8
.
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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
)
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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
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b
−
21
⋅
4
−
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Question
Select the equivalent expression.
\newline
(
3
3
⋅
6
6
)
−
3
=
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(
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
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Posted 1 year ago
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