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Help with a Gmat Prep Question

Expert replies
Source: — Problem Solving |

Re: Help with a Gmat Prep Question

by dally_gmat » Fri Sep 26, 2008 6:46 pm
IMO answer is D = 35?

=(1/5)^m (1/4)^18 = 1/2(10)^35

=(1/5)^m(1/2)^36 = 1/2(10)^35
= (1/5)^m(1/2)^35 = (10)^35
= Now if m = 35 both equations are equal ...

What is OA?
willy1969 wrote:Can someone help me with the following question from GMAT PREP Test:

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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by willbeatthegmat » Sun Sep 28, 2008 11:05 am
(1/5)^m *(1/4) ^18 = (1/2) * (1/10) ^35

(1/5)^m * ((1/2) ^2)18 = (1/2) * (1/10) ^35

(1/5)^m * (1/2) ^36 = (1/2) * ((1/2)* (1/5)) ^ 35

(1/5)^m * (1/2) ^36 = (1/2) * (1/2) ^ 35 * (1/5) ^ 35

(1/5)^m * (1/2) ^36 = (1/2) ^ 36 * (1/5) ^35

(1/5)^m = (1/5) ^35

m = 35

Cheers!!
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