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Let’s check out your problem:
Solve the equation
(
x
+
7
)
3
+
8
=
16
(x+7)^{3}+8=16
(
x
+
7
)
3
+
8
=
16
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Math Problems
Grade 7
Powers with decimal and fractional bases
Full solution
Q.
Solve the equation
(
x
+
7
)
3
+
8
=
16
(x+7)^{3}+8=16
(
x
+
7
)
3
+
8
=
16
Subtract
8
8
8
:
Subtract
8
8
8
from both sides of the equation to isolate the cubic term.
\newline
(
x
+
7
)
3
+
8
−
8
=
16
−
8
(x+7)^3 + 8 - 8 = 16 - 8
(
x
+
7
)
3
+
8
−
8
=
16
−
8
\newline
Simplify the equation.
\newline
(
x
+
7
)
3
=
8
(x+7)^3 = 8
(
x
+
7
)
3
=
8
Simplify equation:
Take the cube root of both sides of the equation to solve for
(
x
+
7
)
(x+7)
(
x
+
7
)
.
(
x
+
7
)
3
3
=
8
3
\sqrt[3]{(x+7)^3} = \sqrt[3]{8}
3
(
x
+
7
)
3
=
3
8
Simplify the cube root.
x
+
7
=
2
x+7 = 2
x
+
7
=
2
Take cube root:
Subtract
7
7
7
from both sides of the equation to solve for
x
x
x
.
\newline
x
+
7
−
7
=
2
−
7
x + 7 - 7 = 2 - 7
x
+
7
−
7
=
2
−
7
\newline
Simplify the equation.
\newline
x
=
−
5
x = -5
x
=
−
5
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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
)
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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
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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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