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Math Problems
Grade 8
Powers with negative bases
Evaluate the following expression.
\newline
3
3
−
10
+
7
=
3^{3}-10+7=
3
3
−
10
+
7
=
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Evaluate the following expression.
\newline
10
+
5
3
−
1
=
10+5^{3}-1=
10
+
5
3
−
1
=
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Evaluate the following expression.
\newline
40
⋅
8
−
1
0
2
=
40 \cdot 8-10^{2}=
40
⋅
8
−
1
0
2
=
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Factor completely.
\newline
5
x
4
−
20
x
3
+
20
x
2
=
5 x^{4}-20 x^{3}+20 x^{2}=
5
x
4
−
20
x
3
+
20
x
2
=
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Factor completely.
\newline
3
x
5
−
75
x
3
=
3 x^{5}-75 x^{3}=
3
x
5
−
75
x
3
=
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Factor completely.
\newline
2
x
4
+
4
x
3
−
30
x
2
=
2 x^{4}+4 x^{3}-30 x^{2}=
2
x
4
+
4
x
3
−
30
x
2
=
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Factor completely.
\newline
7
x
5
−
21
x
4
+
14
x
3
=
7 x^{5}-21 x^{4}+14 x^{3}=
7
x
5
−
21
x
4
+
14
x
3
=
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Factor completely.
\newline
16
n
6
+
40
n
3
+
25
=
16 n^{6}+40 n^{3}+25=
16
n
6
+
40
n
3
+
25
=
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Factor completely.
\newline
4
p
2
−
25
q
2
=
4 p^{2}-25 q^{2}=
4
p
2
−
25
q
2
=
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6
4
3
+
3
6
4
3
=
4
⋅
6
A
\sqrt[3]{6^{4}}+3 \sqrt[3]{6^{4}}=4 \cdot 6^{A}
3
6
4
+
3
3
6
4
=
4
⋅
6
A
\newline
What is the value of
A
A
A
?
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Evaluate.
\newline
0.
1
3
=
0.1^{3}=
0.
1
3
=
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Evaluate.
\newline
0.
5
2
=
0.5^{2}=
0.
5
2
=
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Evaluate.
\newline
(
1
3
)
3
=
(\frac{1}{3})^{3}=
(
3
1
)
3
=
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Evaluate.
\newline
0.
2
4
=
0.2^{4}=
0.
2
4
=
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Evaluate.
\newline
0.
1
4
=
0.1^{4}=
0.
1
4
=
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Evaluate.
\newline
0.
7
2
=
0.7^{2}=
0.
7
2
=
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Evaluate.
\newline
(
4
7
)
2
=
(\frac{4}{7})^{2}=
(
7
4
)
2
=
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Evaluate.
\newline
(
2
5
)
2
=
(\frac{2}{5})^{2}=
(
5
2
)
2
=
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Evaluate.
\newline
0.
8
2
=
0.8^{2}=
0.
8
2
=
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Evaluate.
\newline
(
1
2
)
3
=
(\frac{1}{2})^{3}=
(
2
1
)
3
=
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Evaluate.
\newline
0.
6
2
=
0.6^{2}=
0.
6
2
=
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Evaluate.
\newline
(
1
5
)
2
=
(\frac{1}{5})^{2}=
(
5
1
)
2
=
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Evaluate.
\newline
(
3
2
)
3
=
(\frac{3}{2})^{3}=
(
2
3
)
3
=
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Evaluate.
\newline
0.
3
3
=
0.3^{3}=
0.
3
3
=
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Evaluate.
\newline
0
4
=
0^{4}=
0
4
=
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Evaluate.
\newline
1
2
=
1^{2}=
1
2
=
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Evaluate.
\newline
5
3
=
5^{3}=
5
3
=
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Evaluate.
\newline
4
3
=
4^{3}=
4
3
=
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Evaluate.
\newline
3
4
=
3^{4}=
3
4
=
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Evaluate.
\newline
1
5
=
1^{5}=
1
5
=
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Evaluate.
\newline
20
10
−
6
=
\frac{20}{10-6}=
10
−
6
20
=
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Evaluate.
\newline
2
3
=
2^{3}=
2
3
=
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Evaluate.
\newline
0
5
=
0^{5}=
0
5
=
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Evaluate.
\newline
1
1
2
=
11^{2}=
1
1
2
=
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Evaluate.
\newline
8
2
=
8^{2}=
8
2
=
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Evaluate.
\newline
1
3
=
1^{3}=
1
3
=
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Evaluate.
\newline
1
2
2
=
12^{2}=
1
2
2
=
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Evaluate.
\newline
7
2
=
7^{2}=
7
2
=
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Evaluate.
\newline
3
3
=
3^{3}=
3
3
=
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Evaluate.
\newline
9
2
=
9^{2}=
9
2
=
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Evaluate.
\newline
5
2
=
5^{2}=
5
2
=
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Evaluate.
\newline
2
5
=
2^{5}=
2
5
=
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Evaluate.
\newline
0
2
=
0^{2}=
0
2
=
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Evaluate.
\newline
2
4
=
2^{4}=
2
4
=
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