EstateName.com – Which of the Following is Equal to
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Which of the following is equal to
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25 Feb 2017, 09:22
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Which of the following is equal to \(\frac{6^{14}}{2^5 * 3^7}\) ?
A) \(2^2*3^2\)
B) \(2^7*3^7\)
C) \(2^9*3^2\)
D) \(2^9*3^7\)
E) \(2^9*3^9\)
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GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: Which of the following is equal to
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04 Mar 2017, 17:45
Explanation
The numerator, \(6^1^4\), can be factored, and then the properties of exponents can be applied:
\(\frac{6^1^4}{2^5 \times 3^7}= \frac{2^1^4 \times 3^1^4}{2^5 \times 3^7} = 2^9 \times 3^7\).
Hence option D is correct.
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Re: Which of the following is equal to
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10 Oct 2019, 14:23
sandy wrote:
Explanation
The numerator, \(6^1^4\), can be factored, and then the properties of exponents can be applied:
\(\frac{6^1^4}{2^5 \times 3^7}= \frac{2^1^4 \times 3^1^4}{2^5 \times 3^7} = 2^9 \times 3^7\).
Hence option D is correct.
Hi Sandy,
Is this a general rule? So, when you’re dealing with terms that have the same exponent and are being multiplied together, you can just multiply the factors like usual and keep the exponent the same and the result will stay constant?
So, 9^5 = (3^5)(3^5); 12^5 = (3^5)(4^5) etc. ?
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Re: Which of the following is equal to
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12 Oct 2019, 07:59
Yes
See the GC math book
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Re: Which of the following is equal to
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19 Jul 2022, 10:18
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