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Let’s check out your problem:
Which expression is equivalent to
6
×
6
3
6 \times 6^3
6
×
6
3
?
\newline
Choices:
\newline
(A)
1
6
4
\frac{1}{6^4}
6
4
1
\newline
(B)
1
6
3
\frac{1}{6^3}
6
3
1
\newline
(C)
6
4
6^4
6
4
\newline
(D)
6
3
6^3
6
3
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Math Problems
Algebra 2
Simplify radical expressions involving fractions
Full solution
Q.
Which expression is equivalent to
6
×
6
3
6 \times 6^3
6
×
6
3
?
\newline
Choices:
\newline
(A)
1
6
4
\frac{1}{6^4}
6
4
1
\newline
(B)
1
6
3
\frac{1}{6^3}
6
3
1
\newline
(C)
6
4
6^4
6
4
\newline
(D)
6
3
6^3
6
3
Understand the problem:
Understand the problem.
\newline
We need to find an expression equivalent to the multiplication of
6
6
6
by
6
6
6
raised to the power of
3
3
3
.
Apply exponent rule:
Apply the exponent rule for multiplication
a
m
∗
a
n
=
a
(
m
+
n
)
a^m * a^n = a^{(m+n)}
a
m
∗
a
n
=
a
(
m
+
n
)
.
6
∗
6
3
=
6
1
∗
6
3
=
6
(
1
+
3
)
=
6
4
6 * 6^3 = 6^1 * 6^3 = 6^{(1+3)} = 6^4
6
∗
6
3
=
6
1
∗
6
3
=
6
(
1
+
3
)
=
6
4
Match with choices:
Match the result with the given choices.
\newline
The expression
6
4
6^4
6
4
matches with choice (C)
6
4
6^4
6
4
.
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14
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B
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, or
A
B
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A
A
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B
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A
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Simplify the radical expression.
\newline
12
x
12
\sqrt{12x^{12}}
12
x
12
\newline
Write your answer in the form
A
A
A
,
B
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B
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A
B
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A
B
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A
A
A
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B
B
B
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x
x
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A
A
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Question
What is the value of
sin
(
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π
6
)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
2
-\frac{\sqrt{3}}{2}
−
2
3
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
1
2
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2
1
\newline
(D)
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