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If (1/5)^m * (1/4)^18 = 1/[2(10)^35)], then m =

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sharmin.karim
 Post subject: If (1/5)^m * (1/4)^18 = 1/[2(10)^35)], then m =
 Post Posted: Thu Oct 15, 2009 6:47 pm 
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Course Students


Posts: 18
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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venkiarun
 Post subject: Re: If (1/5)^m * (1/4)^18 = 1/[2(10)^35)], then m =
 Post Posted: Wed Oct 21, 2009 4:11 pm 
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Students


Posts: 1
The answer is 35.

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

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

Step 3 : 5^m = 5^35

m = 35
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RonPurewal
 Post subject: Re: If (1/5)^m * (1/4)^18 = 1/[2(10)^35)], then m =
 Post Posted: Sat Oct 24, 2009 8:35 am 
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ManhattanGMAT Staff


Posts: 7146
you can actually just ditch the fractions altogether and just look at the denominators. (since the numerators are all 1, they don't really do anything.)

see here
post634.html#p634
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