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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Which of the following is closest to the value of (2^23) tagged by: swerve ##### This topic has 5 expert replies and 0 member replies ### Top Member ## Which of the following is closest to the value of (2^23) ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Which of the following is closest to the value of (2^23)(5^26)? A. 10^23 B. 10^24 C. 10^25 D. 10^26 E. 10^27 The OA is C. Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12906 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 swerve wrote: Which of the following is closest to the value of (2^23)(5^26)? A. 10^23 B. 10^24 C. 10^25 D. 10^26 E. 10^27 (2^23)(5^26) = (2^23)(5^23)(5^3) = (2^23)(5^23)(5^3) = (10^23)(5^3) = (10^23)(125) â‰ˆ (10^23)(100) â‰ˆ(10^23)(10^2) â‰ˆ10^25 Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 swerve wrote: Which of the following is closest to the value of (2^23)(5^26)? A. 10^23 B. 10^24 C. 10^25 D. 10^26 E. 10^27 Source: Veritas Prep ${2^{23}} \cdot {5^{26}}\,\, \cong \,\,\,{10^{\,?}}\,$ ${2^{23}} \cdot {5^{26}} = {2^{23}} \cdot {5^{23}} \cdot {5^3} = \,\,\,125\,\,{\left( {10} \right)^{23}}$ $\underline {1 \cdot {{10}^{25}}} = 100 \cdot {\left( {10} \right)^{23}} < \underline {125\,\,{{\left( {10} \right)}^{23}}} < 200 \cdot {\left( {10} \right)^{23}} = \underline {2 \cdot {{10}^{25}}} \,\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( C \right)$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2595 messages Followed by: 18 members Upvotes: 43 swerve wrote: Which of the following is closest to the value of (2^23)(5^26)? A. 10^23 B. 10^24 C. 10^25 D. 10^26 E. 10^27 We can break 5^26 into two parts: 5^23 x 5^3 and then combine 5^23 with 2^23, as shown: 2^23 x 5^23 x 5^3 10^23 x 5^3 = 10^23 x 125, which is about 10^23 x 10^2 = 10^25. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10184 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're asked which of the following is closest to the value of (2^23)(5^26). If you don't immediately see the 'Exponent' rules that apply to this question, then you can still solve it with some basic Arithmetic and logic. To start, when you multiply a bunch of numbers together, the 'order' does NOT matter. For example (2)(3)(5) = 30 and (3)(5)(2) = 30. With the same numbers, any order will lead to the same result when you multiply. In this question, we're multiplying a lot of 2s and a lot of 5s together... again though, the order doesn't matter. If we take one 2 and one 5 and multiply them, we get (2)(5) = 10. You should see pretty quickly that taking all twenty-three 2s and twenty-three of the 5s would give us twenty-three 10s all multiplied together... AND three "left over" 5s. So far, that's (10^23)(5)(5)(5).... the product of those three 5s is (5)(5)(5) = 125... (10^23)(125) is a bit more than (10^23)(100)... meaning that it's fairly close to (10^23)(10)(10) = 10^25 Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2595 messages Followed by: 18 members Upvotes: 43 swerve wrote: Which of the following is closest to the value of (2^23)(5^26)? A. 10^23 B. 10^24 C. 10^25 D. 10^26 E. 10^27 We can rewrite the expression as: 2^23 x 5^23 x 5^3 10^23 x 5^3 Since 5^3 = 125, which is close to 100, or 10^2, we have: 10^23 x 10^2 = 10^25 Answer: C _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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