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# Express 2^20-2^19-2^18-2^17 as a power of 2.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 8261
GMAT 1: 760 Q51 V42
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Express 2^20-2^19-2^18-2^17 as a power of 2.  [#permalink]

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22 Mar 2019, 00:39
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Difficulty:

15% (low)

Question Stats:

81% (01:08) correct 19% (01:11) wrong based on 43 sessions

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[GMAT math practice question]

Express $$2^{20}-2^{19}-2^{18}-2^{17}$$ as a power of $$2$$.

$$A. 2^{15}$$
$$B. 2^{16}$$
$$C. 2^{17}$$
$$D. 2^{18}$$
$$E. 2^{19}$$

_________________
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 $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" NUS School Moderator Joined: 18 Jul 2018 Posts: 1026 Location: India Concentration: Finance, Marketing WE: Engineering (Energy and Utilities) Re: Express 2^20-2^19-2^18-2^17 as a power of 2. [#permalink] ### Show Tags 22 Mar 2019, 02:40 1 1 Take 2^17 common. Then 2^17(8-4-2-1) = 2^17. C is the answer Director Joined: 04 Aug 2010 Posts: 505 Schools: Dartmouth College Re: Express 2^20-2^19-2^18-2^17 as a power of 2. [#permalink] ### Show Tags 22 Mar 2019, 09:56 MathRevolution wrote: [GMAT math practice question] Express $$2^{20}-2^{19}-2^{18}-2^{17}$$ as a power of $$2$$. $$A. 2^{15}$$ $$B. 2^{16}$$ $$C. 2^{17}$$ $$D. 2^{18}$$ $$E. 2^{19}$$ Test an analogous case with easier values: 2⁴ - 2³ - 2² - = 16 - 8 - 4 - 2 = The matching blue portions imply the following: 2²⁰ - 2¹⁹ - 2¹⁸ - 2¹⁷ = 2¹⁷ . _________________ GMAT and GRE Tutor New York, NY Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 8261 GMAT 1: 760 Q51 V42 GPA: 3.82 Express 2^20-2^19-2^18-2^17 as a power of 2. [#permalink] ### Show Tags 24 Mar 2019, 18:21 => $$2^{20}-2^{19}-2^{18}-2^{17}$$ $$=2^32^{17}- 2^22^{17}-2^12^{17}-2^{17}$$ $$= 2^{17} (8-4-2-1)$$ $$= 2^{17}(1)$$ $$= 2^{17}$$ Therefore, the answer is C. Answer: C _________________ 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$79 for 1 month Online Course"
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Express 2^20-2^19-2^18-2^17 as a power of 2.   [#permalink] 24 Mar 2019, 18:21
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