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Math Help - GMAT Help!

  1. #1
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    GMAT Help!

    Hi, I am stuck on the solution for this problem. Can anyone help??

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

    Need to solve for m. I know the answer is 35...just need to how the math works out. According to the makers of the test, it should only take a few minutes. What am I missing?? Thanks!!
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  2. #2
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    I assume the original expression is

    \left(\frac{1}{5}\right)^m \cdot \left(\frac{1}{4}\right)^{18}= \frac{1}{2 \cdot 10^{35}}

    rewrite as ...

    5^{-m} \cdot 2^{-36} = 2^{-1}(2^{-35} \cdot 5^{-35})

    should be easy to "see" what m is now.
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  3. #3
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    Thanks for the help!
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