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Math Problems
Grade 7
Powers with negative bases
Find the positive solution of the equation.
\newline
5
x
6
5
+
11
=
2657216
5 x^{\frac{6}{5}}+11=2657216
5
x
5
6
+
11
=
2657216
\newline
Answer:
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5
×
(
a
+
b
+
c
)
=
5\times(a+b+c)=
5
×
(
a
+
b
+
c
)
=
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(
78
78
78
)^
2
2
2
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Evaluate
\newline
1
0
9
1
0
7
\frac{10^{9}}{10^{7}}
1
0
7
1
0
9
=
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What is the value of
log
1
\log 1
lo
g
1
?
\newline
Answer:
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Question
3
3
3
(
2
2
2
points)
\newline
Simplify. Your answer should be in proper scientific notation:
\newline
Double
7
×
1
0
5
7 \times 10^{5}
7
×
1
0
5
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Solve for all values of
x
x
x
.
\newline
x
10
=
5
2
x
\frac{x}{10}=\frac{5}{2 x}
10
x
=
2
x
5
\newline
Answer:
x
=
x=
x
=
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Solve for all values of
x
x
x
.
\newline
9
x
=
x
9
\frac{9}{x}=\frac{x}{9}
x
9
=
9
x
\newline
Answer:
x
=
x=
x
=
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Write the following expression without negative exponents and without parentheses.
\newline
(
3
x
)
−
3
(3 x)^{-3}
(
3
x
)
−
3
\newline
Answer:
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Factor
27
n
3
+
64
27 n^{3}+64
27
n
3
+
64
completely.
\newline
Answer:
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Factor
d
3
−
1
d^{3}-1
d
3
−
1
completely.
\newline
Answer:
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Find each difference. Use
\newline
1
1
1
.
6
−
3
=
6-3=
6
−
3
=
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
1
0
5
1
0
3
=
\frac{10^{5}}{10^{3}}=
1
0
3
1
0
5
=
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3
−
4
3-4
3
−
4
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
3
5
3
3
=
\frac{3^{5}}{3^{3}}=
3
3
3
5
=
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
3
9
3
5
=
□
\frac {3^{9}}{3^{5}}=\square
3
5
3
9
=
□
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Subtract.
\newline
3
10
−
9
10
=
\frac{3}{10}-\frac{9}{10}=
10
3
−
10
9
=
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Solve for
x
\mathrm{x}
x
in simplest form.
\newline
13
=
1
2
(
x
−
2
)
13=\frac{1}{2}(x-2)
13
=
2
1
(
x
−
2
)
\newline
Answer:
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Which value of
x
x
x
satisfies the equation
2
3
(
x
−
1
4
)
=
19
6
\frac{2}{3}\left(x-\frac{1}{4}\right)=\frac{19}{6}
3
2
(
x
−
4
1
)
=
6
19
?
\newline
6
6
6
\newline
5
5
5
\newline
−
5
-5
−
5
\newline
−
6
-6
−
6
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Solve for
b
b
b
and simplify your answer.
\newline
−
20
=
5
2
b
-20=\frac{5}{2} b
−
20
=
2
5
b
\newline
Answer:
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Solve for
u
u
u
and simplify your answer.
\newline
4
3
u
=
8
\frac{4}{3} u=8
3
4
u
=
8
\newline
Answer:
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7
÷
(
3
)
/
(
8
)
=
7 \div (3) / (8) =
7
÷
(
3
)
/
(
8
)
=
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7
÷
(
3
)
/
(
8
)
=
7 \div (3) / (8) =
7
÷
(
3
)
/
(
8
)
=
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8
÷
2
(
2
+
2
)
=
8 \div 2(2+2)=
8
÷
2
(
2
+
2
)
=
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Evaluate. Write your answer as a whole number or as a simplified fraction.
\newline
(
3
8
)
/
(
3
4
)
=
(3^{8})/(3^{4})=
(
3
8
)
/
(
3
4
)
=
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5
÷
2
(
1
+
2
)
=
5 \div 2(1+2)=
5
÷
2
(
1
+
2
)
=
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Evaluate. Write your a
\newline
(
1
0
9
)
/
(
1
0
7
)
=
(10^{9})/(10^{7})=
(
1
0
9
)
/
(
1
0
7
)
=
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