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Let’s check out your problem:
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified
fraction
.
\newline
1
4
÷
−
4
\frac{1}{4} \div-4
4
1
÷
−
4
\newline
Answer:
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Home
Math Problems
Grade 7
Powers with decimal and fractional bases
Full solution
Q.
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.
\newline
1
4
÷
−
4
\frac{1}{4} \div-4
4
1
÷
−
4
\newline
Answer:
Understand the operation:
Understand the operation.
\newline
We need to divide
1
4
\frac{1}{4}
4
1
by
−
4
-4
−
4
. Division by a number is the same as multiplication by its reciprocal.
Find the reciprocal:
Find the reciprocal of
−
4
-4
−
4
.
\newline
The reciprocal of
−
4
-4
−
4
is
−
1
4
-\frac{1}{4}
−
4
1
.
Multiply
fractions
:
Multiply
1
4
\frac{1}{4}
4
1
by the reciprocal of
−
4
-4
−
4
.
$
1
4
×
(
−
1
4
)
=
−
1
16
\$\frac{1}{4} \times \left(-\frac{1}{4}\right) = -\frac{1}{16}
$
4
1
×
(
−
4
1
)
=
−
16
1
\)
Check the result:
Check the result. The multiplication is correct, and the fraction is already in its simplest form.
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x
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\newline
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6
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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
b^{-21}\cdot 4^{-15}
b
−
21
⋅
4
−
15
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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
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