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## Question from Gmat Prep- Help please! 2

This topic has 2 expert replies and 1 member reply
bobdylan Rising GMAT Star
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Question from Gmat Prep- Help please! 2 Fri Apr 13, 2012 2:12 pm
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
If (1/5)^m . (1/4)^18= 1/2(10)^35, then m:
a)17
b)18
c)34
d)35
e)36

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neelgandham Community Manager
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Fri Apr 13, 2012 2:18 pm
If (1/5)^m (1/4)^18 = 1/ 2(10)^35, then m =

a.17
b.18
c.34
d.35
e.36

(1/5)^m (1/4)^18 = 1/ 2(10)^35
(1/5)^m * (1/2*2)^18 = 1/(2(2*5)^35)
(1/5)^m * (1/2)^36 = 1/(2(2^35)(5^35))
(1/5)^m * (1/2)^36 = 1/(2^36 * 5^35)
multiply left hand side and right hand side with 2^36, leaving:
1/5^m = 1/5^35
Bases are equal, so should be exponents. Hence the value of m = 35
Option D

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### GMAT/MBA Expert

Anurag@Gurome GMAT Instructor
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Fri Apr 13, 2012 6:33 pm
bobdylan wrote:
If (1/5)^m . (1/4)^18= 1/2(10)^35, then m:
a)17
b)18
c)34
d)35
e)36
(1/5)^m * (1/4)^18= 1/2(10)^35
(1/5)^m * (1/4)^18= 1/[2 * 2^35 * 5^35]
Now all the answer choices are only integers, and power of 5 on both sides should be equal. The power of 5 is 35.

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GMATGuruNY GMAT Instructor
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Fri Apr 13, 2012 7:04 pm
Do only as much math as necessary. I posted a solution here:

http://www.beatthegmat.com/pleasssseee-help-how-do-i-find-m-t95762.html

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