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Let’s check out your problem:
If
7
a
=
7
3
7^a=\sqrt[3]{7}
7
a
=
3
7
, what is the value of
a
a
a
?
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Math Problems
Grade 8
Solve equations with variable exponents
Full solution
Q.
If
7
a
=
7
3
7^a=\sqrt[3]{7}
7
a
=
3
7
, what is the value of
a
a
a
?
Identify and simplify expression:
Identify the expression and simplify the cube root.
7
a
=
7
1
3
7^a = 7^{\frac{1}{3}}
7
a
=
7
3
1
Set exponents equal:
Set the exponents equal to each other since the bases are the same.
a
=
1
3
a = \frac{1}{3}
a
=
3
1
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Question
Select the equivalent expression.
\newline
(
(
8
−
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)
/
(
2
−
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)
)
−
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((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)
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(
2
6
)
/
(
8
9
)
(2^{6})/(8^{9})
(
2
6
)
/
(
8
9
)
\newline
(C)
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(
1
)
/
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2
)
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(
1
)
/
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Question
Select the equivalent expression.
\newline
(
b
7
4
5
)
−
3
=
?
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(
4
5
b
7
)
−
3
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
b
21
4
15
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4
15
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(B)
4
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b
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4
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\newline
(
3
3
⋅
6
6
)
−
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=
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3
3
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6
6
)
−
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1
1
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\newline
(A)
1
3
9
⋅
6
18
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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
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