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# When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=?

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Joined: 16 Aug 2015
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When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=?  [#permalink]

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Updated on: 23 Jan 2016, 13:11
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:57) correct 18% (02:38) wrong based on 79 sessions

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When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(2^10)=?

A. 9^(2^9 )
B. 9^(2^10 )
C. 9^(3^9 )
D. 910
E. 99

*A solution will be posted in two days.

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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 11 Jan 2016, 15:56. Last edited by ENGRTOMBA2018 on 23 Jan 2016, 13:11, edited 2 times in total. Reformatted the question. Math Expert Joined: 02 Aug 2009 Posts: 7113 Re: When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=? [#permalink] ### Show Tags 11 Jan 2016, 20:08 MathRevolution wrote: When k=odd, f(k)=2k and when k=even, f(k)=3k, f(210)=? A. 9^(2^9 ) B. 9^(2^10 ) C. 9^(3^9 ) D. 910 E. 99 *A solution will be posted in two days. Hi, looking at the Q and the answer choices, I feel some signs are missing. The Q should be something like this.. Quote: Q. When k is odd, f(k)=2^k and when k is even, f(k)=3^k, f(2^10)=? A. 9^(2^9 ) B. 9^(2^10 ) C. 9^(3^9 ) D. 9^10 E. 9^9 _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Math Expert Joined: 02 Aug 2009 Posts: 7113 Re: When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=? [#permalink] ### Show Tags 11 Jan 2016, 20:16 Quote: Q. When k is odd, f(k)=2^k and when k is even, f(k)=3^k, f(2^10)=? A. 9^(2^9 ) B. 9^(2^10 ) C. 9^(3^9 ) D. 9^10 E. 9^9 here k is 2^10 and so even.. so f(2^10)= 3^( 2^10).. now to get this to base 9, we will square 3 and half the power.. $$3^{ 2^{10}}={3^2}^{\frac{{2^{10}}}{2}}$$.. = $$9^{2^9}$$.. ans A _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6663 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=? [#permalink] ### Show Tags 13 Jan 2016, 18:08 When k=odd, f(k)=2k and when k=even, f(k)=3k, f(210)=? A. 9^(2^9 ) B. 9^(2^10 ) C. 9^(3^9 ) D. 9^10 E. 9^9 -> f(210)=3^(2^10 )=3^((2)(2^9))=(〖3^2)〗^(2^9 )=9^(2^9 ). Therefore, the answer is A. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=?  [#permalink]

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23 Jan 2016, 13:05
1
Moderators! Please re-write k as power of 2 & 3 f(k)=2k ... f(k)=3k in question as chetan2u suggested.
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Re: When k=odd, f(k)=2^k and when k=even, f(k)=3^k, f(210)=? &nbs [#permalink] 23 Jan 2016, 13:05
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