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If m^(-1) = -1/3 (OG16)

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boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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If m^(-1) = -1/3 (OG16)

Post Thu May 19, 2016 3:48 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If m^(-1) = -1/3, then m^(-2) is equal to

    A) -9
    B) -3
    C) -1/9
    D) 1/9
    E) 9

    OA: D

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    Post Thu May 19, 2016 3:52 pm
    boomgoesthegmat wrote:
    If m^(-1) = -1/3, then m^(-2) is equal to

    A) -9
    B) -3
    C) -1/9
    D) 1/9
    E) 9

    OA: D
    m^(-1) = 1/m

    We're told that m^(-1) = -1/3
    This means that 1/m = -1/3
    So, we know that m = -3

    This means that m^(-2) = (-3)^(-2)
    = 1/9
    = D

    RELATED RESOURCE (video):
    Negative exponents: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1028

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
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    Post Thu May 19, 2016 3:54 pm
    boomgoesthegmat wrote:
    If m^(-1) = -1/3, then m^(-2) is equal to

    A) -9
    B) -3
    C) -1/9
    D) 1/9
    E) 9

    OA: D
    Another solution:
    Given: m^(-1) = -1/3
    Square both sides to get: [m^(-1)]^2 = (-1/3)^2
    Simplify: m^(-2) = (-1/3)(-1/3)
    So, m^(-2) = 1/9

    Answer: D

    RELATED RESOURCE (video)
    - Laws of exponents - part I: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1025

    Cheers,
    Brent

    _________________
    Brent Hanneson – Founder of GMATPrepNow.com
    Use our video course along with Beat The GMAT's free 60-Day Study Guide

    Check out the online reviews of our course
    Come see all of our free resources

    GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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