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12 Aug 2023, 09:00
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D
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Difficulty:
5%
(low)
Question Stats:
84% (01:04) correct
16%
(01:31)
wrong
based on 573
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Which of the following is equal to \(\frac{1}{6}(48)^7\)?
A. 8^6
B. 8^7
C. 6(48)^6
D. 8(48)^6
E. 8(48)^7
A. 8^6
B. 8^7
C. 6(48)^6
D. 8(48)^6
E. 8(48)^7
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15 Oct 2024, 19:22
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The expression in question is:
\[
\frac{1}{6} (48)^7
\]
Step 1: Factor 48
We know that \(48 = 8 \times 6\), so substitute this into the expression:
\[
\frac{1}{6} (8 \times 6)^7
\]
Step 2: Apply the Power
Now apply the power of 7 to both \(8\) and \(6\):
\[
\frac{1}{6} (8^7 \times 6^7)
\]
Step 3: Simplify the 6's
Since the expression has \(6\) in both the numerator and denominator, you can cancel one \(6\) from both:
\[
= 8^7 \times 6^{6}
\]
This simplifies the original expression to:
\[
8^7 \times 6^6
\]
Conclusion:
The simplified expression for \( \frac{1}{6} (48)^7 \) is \( 8^7 \times 6^6 \). This matches the result shown \( 8(48)^6 \), which is equivalent to the same final form.
\[
\frac{1}{6} (48)^7
\]
Step 1: Factor 48
We know that \(48 = 8 \times 6\), so substitute this into the expression:
\[
\frac{1}{6} (8 \times 6)^7
\]
Step 2: Apply the Power
Now apply the power of 7 to both \(8\) and \(6\):
\[
\frac{1}{6} (8^7 \times 6^7)
\]
Step 3: Simplify the 6's
Since the expression has \(6\) in both the numerator and denominator, you can cancel one \(6\) from both:
\[
= 8^7 \times 6^{6}
\]
This simplifies the original expression to:
\[
8^7 \times 6^6
\]
Conclusion:
The simplified expression for \( \frac{1}{6} (48)^7 \) is \( 8^7 \times 6^6 \). This matches the result shown \( 8(48)^6 \), which is equivalent to the same final form.
General Discussion
12 Aug 2023, 09:49
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((48)^7)/6
=(6^7)(8^7)/6
=(6^6)(8^7)
=(6^6)(8^6)8
=8(48^6)
Hence D
=(6^7)(8^7)/6
=(6^6)(8^7)
=(6^6)(8^6)8
=8(48^6)
Hence D
