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GMAT PREP 1 QUESTION 12

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Source: — Data Sufficiency |
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by MartyMurray » Fri Feb 05, 2016 8:32 pm
didieravoaka wrote: If (1/5)�(1/4)¹� = 1/(2(10)³�), then m =

(A) 17
(B) 18
(C) 34
(D) 35
(E) 36
Break out the prime factors in the denominators.

(1/5)�(1/4)¹� = 1/(2(10)³�)

(1/5)�(1/2³�) = 1/(2(2³� x 5³�))

(1/5)�(1/2³�) = 1/((2³�)(5³�))

1/((5�)(2³�)) = 1/((2³�)(5³�))

m must be 35.

The correct answer is D.
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by Brent@GMATPrepNow » Fri Feb 05, 2016 9:11 pm
(1/5)^m * (1/4)^18 = 1/(2(10)^35). Find the value of M.

17
18
34
35
36

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by didieravoaka » Sun Feb 07, 2016 5:38 pm
Thanks guys
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