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Let’s check out your problem:
Evaluate. Write your answer as a decimal or
whole number
.
\newline
(
0.02
)
3
=
(0.02)^3 =
(
0.02
)
3
=
_____
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Math Problems
Grade 7
Powers with decimal and fractional bases
Full solution
Q.
Evaluate. Write your answer as a decimal or whole number.
\newline
(
0.02
)
3
=
(0.02)^3 =
(
0.02
)
3
=
_____
Understand the problem:
Understand the problem.
\newline
We need to calculate the cube of
0.02
0.02
0.02
, which means we need to multiply
0.02
0.02
0.02
by itself three times.
Calculate the cube:
Calculate the cube of
0.02
0.02
0.02
.
\newline
(
0.02
)
3
=
0.02
×
0.02
×
0.02
(0.02)^3 = 0.02 \times 0.02 \times 0.02
(
0.02
)
3
=
0.02
×
0.02
×
0.02
Perform the multiplication:
Perform the multiplication.
0.02
×
0.02
=
0.0004
0.02 \times 0.02 = 0.0004
0.02
×
0.02
=
0.0004
(since
2
×
2
=
4
2 \times 2 = 4
2
×
2
=
4
and we have four decimal places in total)
Multiply the result:
Multiply the result by
0.02
0.02
0.02
again.
\newline
0.0004
×
0.02
=
0.000008
0.0004 \times 0.02 = 0.000008
0.0004
×
0.02
=
0.000008
(since
4
×
2
=
8
4 \times 2 = 8
4
×
2
=
8
and we have six decimal places in total)
More problems from Powers with decimal and fractional bases
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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
−
4
2
____
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Question
x
2
=
4
x^2 = 4
x
2
=
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x
2
=
9
x^2 = 9
x
2
=
9
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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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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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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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