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Let’s check out your problem:
As a
fraction
in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
68
68
68
Second number:
5
5
5
\newline
68
⋅
□
=
5
68 \cdot \square=5
68
⋅
□
=
5
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Math Problems
Grade 6
Write multiplication expressions using exponents
Full solution
Q.
As a fraction in simplest terms, what would you multiply the first number by to get the second?
\newline
First number:
68
68
68
Second number:
5
5
5
\newline
68
⋅
□
=
5
68 \cdot \square=5
68
⋅
□
=
5
Identify Problem:
Identify the problem.
\newline
We need to find a fraction that, when multiplied by
68
68
68
, gives us
5
5
5
.
Set Up Equation:
Set up the equation.
\newline
Let the fraction we are looking for be represented by
x
x
x
. So, we have:
\newline
68
×
x
=
5
68 \times x = 5
68
×
x
=
5
Solve for x:
Solve for x.
\newline
To find
x
x
x
, we need to divide both sides of the equation by
68
68
68
:
\newline
x
=
5
68
x = \frac{5}{68}
x
=
68
5
Simplify Fraction:
Simplify the fraction.
5
5
5
and
68
68
68
do not have any common
factors
other than
1
1
1
, so the fraction
5
68
\frac{5}{68}
68
5
is already in its simplest form.
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Question
Select the equivalent expression.
\newline
(
(
8
−
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)
/
(
2
−
2
)
)
−
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=
?
((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
=
?
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(
4
5
b
7
)
−
3
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
b
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4
15
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4
15
b
21
\newline
(B)
4
15
b
21
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b
21
4
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\newline
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\newline
(
3
3
⋅
6
6
)
−
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=
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(
3
3
⋅
6
6
)
−
3
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\newline
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1
1
answer:
\newline
(A)
1
3
9
⋅
6
18
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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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