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Exponent Problem

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by alicia » Tue Dec 27, 2011 2:53 pm
THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


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 rijul007 » Tue Dec 27, 2011 5:36 pm
alicia wrote:THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


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

Option D
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by ronnie1985 » Tue Dec 27, 2011 7:45 pm
m = 35
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by Anurag@Gurome » Tue Dec 27, 2011 8:40 pm
alicia wrote:THANK YOU, in advance, for your help!
I encountered this question during my practice test and got lost somewhere in the middle:


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]
(1/5)^m = (1/5)^35
Since bases are the same, so exponents will also be the same.
Therefore, m = 35

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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