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# GMAT Club test M25: # 31

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Senior Manager
Joined: 18 Aug 2009
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GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 21:47
Guys help me understand one thing here.

Is 3^3^3 = 3^9 or 3^27?
I think it should be 3^9 and not 3^27
Attachment:

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Last edited by hgp2k on 09 Nov 2009, 21:52, edited 1 time in total.

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Senior Manager
Affiliations: PMP
Joined: 13 Oct 2009
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Re: GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 21:51
3^3=27

and 3^3^3 = 3^27

where is the doubt ?
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Manager
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Re: GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 21:53
hgp2k wrote:
Guys help me understand one thing here.

Is 3^3^3 = 3^9 or 3^27?
I think it should be 3^9 and not 3^27

It is 3^27

3^3^3 = 3^(3^3) = 3^27

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Senior Manager
Joined: 18 Aug 2009
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Re: GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 21:55
srini123 wrote:
3^3=27

and 3^3^3 = 3^27

where is the doubt ?

srini123
I can understand if the question is: 3^(3^3). In this case we have to solve the bracket first. But the question does not say that. So according to basic rules of exponents, it should be 3^(3*3) = 3^9 and not 3^27.

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Senior Manager
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Re: GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 22:00
2
KUDOS
hgp2k wrote:
srini123 wrote:
3^3=27

and 3^3^3 = 3^27

where is the doubt ?

srini123
I can understand if the question is: 3^(3^3). In this case we have to solve the bracket first. But the question does not say that. So according to basic rules of exponents, it should be 3^(3*3) = 3^9 and not 3^27.
- also I didn't quite get where did the * come from ? I see now, $$((3^3)^3 = 3^9)$$, but for the one in question we need to apply precedence of operators (see below)

As per precedence of power, 3^3^3 = 3^(3^3)

see http://en.wikipedia.org/wiki/Order_of_operations
specifically, example
2. Evaluate exponential powers; for iterated powers, start from the right:

2^{3^2}=2^{[3^2]}=[2^9]=512
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Thanks, Sri
-------------------------------
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Press +1 Kudos, if you think my post gave u a tiny tip

Kudos [?]: 175 [2], given: 37

Senior Manager
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Kudos [?]: 351 [0], given: 13

Re: GMAT Club test M25: # 31 [#permalink]

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09 Nov 2009, 22:08
okay, I got it now. Thanks Srini +1 for quick answer and all your help

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CIO
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Re: GMAT Club test M25: # 31 [#permalink]

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10 Nov 2009, 00:48
This question has already been discussed:

Please don't create double posts on the same questions. You can search this thread:

Also, don't forget to use forum search and Custom Google Search for the same purpose.

Thank you .
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Senior Manager
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Re: GMAT Club test M25: # 31 [#permalink]

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10 Nov 2009, 05:10
Thanks dzyubam! I will take care of it going further.

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Re: GMAT Club test M25: # 31   [#permalink] 10 Nov 2009, 05:10
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# GMAT Club test M25: # 31

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