Consecutive Exponents Question

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Consecutive Exponents Question

by srd » Thu May 07, 2015 4:48 pm
Hi, having a hard time with this problem from a Veritas Prep practice test. Does anyone have any insight into how to solve it? The answer explanation did not make sense to me.

The correct answer was E.

Thanks in advance.
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by GMATGuruNY » Thu May 07, 2015 5:51 pm
E-C = 9¹³ - 9¹¹ = 9¹¹(9² - 1) = 9¹¹(80).

Since D-A = 3 spaces on the number line and E-C = 2 spaces on the number line, we get the following ratio:
(D-A)/(E-C) = 3/2
D-A = (3/2)(E-C).

Thus:
D-A = (3/2)(E-C) = (3/2)(9¹¹)(80) = 120(9¹¹).

The correct answer is E.
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by Brent@GMATPrepNow » Thu May 07, 2015 6:21 pm
Here's a similar question to practice with: https://www.beatthegmat.com/challenge-2- ... 67201.html

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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