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Which of the following has 15^80 as a factor?
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18 Jun 2021, 01:34
18 Jun 2021, 01:34
Expert Reply
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Question Stats:
83% (01:09) correct
16% (00:58) wrong based on 24 sessions
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Which of the following has 15^80 as a factor?
A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80
A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following has 15^80 as a factor?
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18 Jun 2021, 05:15
18 Jun 2021, 05:15
1
Carcass wrote:
Which of the following has 15^80 as a factor?
A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80
A. 15^60
B. 30^40
C. 40^80
D. 60^60
E. 90^80
Key concept: \((xy)^n = (x^n)(y^n)\)
E) 90^80 = (15 x 6)^80
= (15^80)(6^80)
As we can see, 90^80 is a multiple of (15^80), which means (15^80) is a factor of 90^80
Answer: E
Cheers,
Brent
gmatclubot
Re: Which of the following has 15^80 as a factor? [#permalink]
18 Jun 2021, 05:15
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