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Let’s check out your problem:
Which expression is equivalent to
(
1
1
4
)
7
(11^4)^7
(
1
1
4
)
7
?
\newline
Choices:
\newline
(A)
1
1
1
11
\frac{1}{11^{11}}
1
1
11
1
\newline
(B)
1
1
1
28
\frac{1}{11^{28}}
1
1
28
1
\newline
(C)
1
1
11
11^{11}
1
1
11
\newline
(D)
1
1
28
11^{28}
1
1
28
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Math Problems
Algebra 1
Identify equivalent exponential expressions II
Full solution
Q.
Which expression is equivalent to
(
1
1
4
)
7
(11^4)^7
(
1
1
4
)
7
?
\newline
Choices:
\newline
(A)
1
1
1
11
\frac{1}{11^{11}}
1
1
11
1
\newline
(B)
1
1
1
28
\frac{1}{11^{28}}
1
1
28
1
\newline
(C)
1
1
11
11^{11}
1
1
11
\newline
(D)
1
1
28
11^{28}
1
1
28
Apply Power Rule:
Simplify the expression using the power of a power rule.
\newline
(
1
1
4
)
7
=
1
1
(
4
∗
7
)
(11^4)^7 = 11^{(4*7)}
(
1
1
4
)
7
=
1
1
(
4
∗
7
)
\newline
=
1
1
28
= 11^{28}
=
1
1
28
Compare with Choices:
Compare the simplified expression with the given choices.
\newline
1
1
28
11^{28}
1
1
28
matches with choice (D).
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6
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\newline
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9
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6
9
1
\newline
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8
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