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Math Help - [SOLVED] Gmat question...

  1. #1
    aj82da6
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    [SOLVED] Gmat question...

    I need help with this problem from my practice gmat..

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

    and we are trying to find m

    thank you for your help
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by aj82da6 View Post
    I need help with this problem from my practice gmat..

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

    and we are trying to find m

    thank you for your help
    \left( \frac 15 \right)^m \cdot \left( \frac 14 \right)^{18} = \frac 1{2 \cdot 10^{35}}

    \Rightarrow \left( \frac 15 \right) \cdot \frac 1{2^{36}} = \frac 1{2 (2 \cdot 5)^{35}}

    \Rightarrow \left( \frac 15 \right)^m \cdot \frac 1{2^{36}} = \frac 1{2^{36} \cdot 5^{35}}

    \Rightarrow \left( \frac 15 \right)^m = \frac 1{5^{35}}

    thus, \boxed{m = 35}
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