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Math Problems
Algebra 1
Evaluate integers raised to positive rational exponents
□
\square
□
\newline
c
m
3
\mathrm{cm}^{3}
cm
3
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evaluate
(
1
4
)
2
(\frac{1}{4})^2
(
4
1
)
2
.
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Integrate
1
1
+
x
3
\frac{1}{1+x^3}
1
+
x
3
1
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How many groups of
1
4
\frac{1}{4}
4
1
are in
7
7
7
?
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Bonus (if done early)
\newline
If
x
3
=
8
x^{3}=8
x
3
=
8
what is
x
x
x
?
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Subtract
5
7
\frac{5}{7}
7
5
from
4
4
4
.
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Write the following as a radical expression.
\newline
1
5
5
6
15^{\frac{5}{6}}
1
5
6
5
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What is the natural logarithm of
ln
(
e
2
x
)
\ln(e^{2x})
ln
(
e
2
x
)
?
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Express
3
0
1
4
30^{\frac{1}{4}}
3
0
4
1
in simplest radical form.
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75
x
8
\sqrt{75 x^{8}}
75
x
8
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What is the slope of the line through
(
−
1
,
8
)
(-1,8)
(
−
1
,
8
)
and
(
3
,
−
4
)
(3,-4)
(
3
,
−
4
)
?
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75
b
10
\sqrt{75 b^{10}}
75
b
10
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9
3
4
9^{\frac{3}{4}}
9
4
3
=
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7
(
−
1
2
)
7^{(-\frac{1}{2})}
7
(
−
2
1
)
=
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Simplify
(
2
w
3
)
6
{(2w^{3})^{6}}
(
2
w
3
)
6
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Simplify. Express your answer using a single exponent.
\newline
(
12
c
9
)
2
(12c^{9})^{2}
(
12
c
9
)
2
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Find the slope of the line passing through the points
(
−
4
,
5
)
(-4,5)
(
−
4
,
5
)
and
(
−
4
,
−
2
)
(-4,-2)
(
−
4
,
−
2
)
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Find the slope of the line passing through the points
(
−
9
,
9
)
(-9,9)
(
−
9
,
9
)
and
(
5
,
9
)
(5,9)
(
5
,
9
)
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Factor
64
+
q
3
64+q^{3}
64
+
q
3
completely.
\newline
Answer:
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Factor the expression completely.
\newline
4
x
+
7
x
2
4 x+7 x^{2}
4
x
+
7
x
2
\newline
Answer:
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Factor completely.
\newline
121
−
x
2
121-x^{2}
121
−
x
2
\newline
Answer:
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Factor completely.
\newline
64
−
x
2
64-x^{2}
64
−
x
2
\newline
Answer:
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1
4
\frac{1}{4}
4
1
of
48
48
48
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1
7
\frac{1}{7}
7
1
of
14
14
14
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9
log
3
20
9^{\log_{3}20}
9
l
o
g
3
20
=
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ln
1
\ln 1
ln
1
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Evaluate
1
−
(
−
3
)
−
5
1-(-3)-5
1
−
(
−
3
)
−
5
.
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Simplify
e
2
ln
9
e^{2 \ln 9}
e
2
l
n
9
\newline
Answer:
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Simplify
e
2
ln
6
e^{2 \ln 6}
e
2
l
n
6
\newline
Answer:
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Simplify.
\newline
8
1
1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
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