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# (3^3+3^4+3^5+3^6)^2=?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6390
GMAT 1: 760 Q51 V42
GPA: 3.82

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02 Nov 2017, 01:12
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:50) correct 29% (02:36) wrong based on 75 sessions

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[GMAT math practice question]

$$(3^3+3^4+3^5+3^6)^2=?$$

$$A. 2^43^65^2$$
$$B. 2^63^45^2$$
$$C. 2^83^65^2$$
$$D. 2^63^85^2$$
$$E. 2^63^65^2$$

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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" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior PS Moderator Joined: 26 Feb 2016 Posts: 3188 Location: India GPA: 3.12 (3^3+3^4+3^5+3^6)^2=? [#permalink] ### Show Tags 02 Nov 2017, 02:32 $$(3^3+3^4+3^5+3^6)^2$$ =$$(3^3(1+3)+3^5(1+3))^2$$ =$$((3^3 + 3^5)(1+3))^2$$ =$$((3^3)(1 + 3^2)(1+3))^2$$ =$$((3^3)(10)(4))^2$$ =$$((3^3)(5)(2^3))^2$$ =$$(3^6)(5^2)(2^6)$$ (Option E) _________________ You've got what it takes, but it will take everything you've got Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 3896 Location: United States (CA) Re: (3^3+3^4+3^5+3^6)^2=? [#permalink] ### Show Tags 05 Nov 2017, 08:26 1 1 MathRevolution wrote: [GMAT math practice question] $$(3^3+3^4+3^5+3^6)^2=?$$ $$A. 2^43^65^2$$ $$B. 2^63^45^2$$ $$C. 2^83^65^2$$ $$D. 2^63^85^2$$ $$E. 2^63^65^2$$ We can simplify the given expression by factoring out 3^3: [3^3(1 + 3^1 + 3^2 + 3^3)]^2 [3^3(1 + 3 + 9 + 27)]^2 [3^3(40)]^2 3^6 x 40^2 = 3^6 x (5^1 x 2^3)^2 = 2^6 x 3^6 x 5^2 Answer: E _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6390 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: (3^3+3^4+3^5+3^6)^2=? [#permalink] ### Show Tags 05 Nov 2017, 18:24 1 => $$(3^3+3^4+3^5+3^6)^2= (3^3(3^0+3^1+3^2+3^3))^2=3^6(1+3+9+27)^2=3^640^2=3^62^65^2$$ Therefore, the answer is E. Answer: E _________________ 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: (3^3+3^4+3^5+3^6)^2=? &nbs [#permalink] 05 Nov 2017, 18:24
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