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(6^14*5^13) - (6^13*5^14) =

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nick13
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(6^14*5^13) - (6^13*5^14) = [#permalink] New post   Updated on: 26 Jan 2024, 02:58
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84% (01:09) correct 16% (01:40) wrong based on 95 sessions
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\((6^{14}*5^{13})-(6^{13}*5^{14})=\)

A. \(0\)

B. \(1\)

C. \(30\)

D. \(11^{13}\)

E. \(30^{13}\)

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E

Originally posted by nick13 on 22 Oct 2023, 16:20.
Last edited by Bunuel on 26 Jan 2024, 02:58, edited 2 times in total.
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gmatophobia
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink] New post   22 Oct 2023, 17:58
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nick13 wrote:
(6^14*5^13)-(6^13*5^14)

a. 0
b. 1
c. 30
d. 11^13
e. 30^13


\([(2*3)^{14}*5^{13}]-[(2*3)^{13}*5^{14}]\)

\([2^{14}*3^{14}*5^{13}]-[2^{13}*3^{13}*5^{14}]\)

\([(2*3*5)^{13}*2*3]-[(2*3*5)^{13}*5]\)

\((2*3*5)^{13}(6-5)\)

\(30^{13}\)

Option E
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Jake7Wimmer
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink] New post   28 Apr 2024, 09:50
Bunuel can you help with this question please
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink] New post   28 Apr 2024, 09:58
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Jake7Wimmer wrote:
Bunuel can you help with this question please

­\((6^{14}*5^{13})-(6^{13}*5^{14})=\)

A. \(0\)

B. \(1\)

C. \(30\)

D. \(11^{13}\)

E. \(30^{13}\)
____________________________________

­\(6^{14}5^{13} -6^{13}5^{14}=\)

­\(=6^{13}*5^{13}(6-5)=\)

­\(=6^{13}*5^{13}=\)

­\(=(6*5)^{13}=\)

­\(=30^{13}\)

Answer: E.­
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink] New post   29 Apr 2024, 16:35
Could you explain this further to me? im not grasping the first step to the solution for some reason Bunuel
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink] New post   30 Apr 2024, 00:47
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Elz068 wrote:
Could you explain this further to me? im not grasping the first step to the solution for some reason Bunuel

We are simply factoring out \(6^{13}*5^{13}\) from \(6^{14}5^{13} -6^{13}5^{14}\) to get ­\(6^{13}*5^{13}(6-5)\).
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Re: (6^14*5^13) - (6^13*5^14) = [#permalink]
30 Apr 2024, 00:47
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