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17^27 has a units digit of: 1 2 3 7 9

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Senior Manager
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Joined: 21 Jun 2006
Posts: 278
17^27 has a units digit of: 1 2 3 7 9 [#permalink]

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New post 26 Jun 2007, 21:43
1
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:16) correct 0% (00:00) wrong based on 71 sessions

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17^27 has a units digit of:
1
2
3
7
9

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Director
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Joined: 12 Jun 2006
Posts: 525
 [#permalink]

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New post 26 Jun 2007, 21:57
my answer is 9.
units digit cycle is 7,9,3,1,7,9,3,1,7 etc. the 27th iteration is 9.
Senior Manager
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Re: PS:Powers [#permalink]

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New post 26 Jun 2007, 22:36
Himalayan wrote:
ArvGMAT wrote:
17^27 has a units digit of:
1
2
3
7
9


3.


Agree with 3. It will be the third (remainder in 27/4) term.
Director
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 [#permalink]

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New post 27 Jun 2007, 02:38
(17^4)^6 *17^3
Units digits = 1 * 3 = 3
Director
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 [#permalink]

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New post 27 Jun 2007, 09:41
Capturing only unit digits
7^1 = 7
7*7 = 9 (only unit digit)
9*7 = 3
3*7 = 1
1*7 = 7

So pattern repeat itself after 4 iteration.

7 9 3 1 7 9 3 1...

3. I think it is C.
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Re: 17^27 has a units digit of: 1 2 3 7 9 [#permalink]

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New post 05 Jan 2018, 16:56
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Re: 17^27 has a units digit of: 1 2 3 7 9   [#permalink] 05 Jan 2018, 16:56
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