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by vinamragharat
Sat Sep 25, 2010 3:20 am
 
Forum: GMAT Official Practice Test Math
Topic: If (1/5)^m x (1/4)^18 = 1/(2x10^35), then m=?
Replies: 4
Views: 2608
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Re: If (1/5)^m x (1/4)^18 = 1/(2x10^35), then m=?

M=35

Here how it goes,
1/(2x2^35x5^35) = 1/5^m x 1/2^36 (since 1/4^18 = 1/2^36)

Now, we have same BASE, so we can ADD the powers.Therefore,

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

compare. We get,

1/5^m = 1/5^35

M=35


Please refer to MGMAT Guides! They are awesome on this stuff!