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Math Help - simplify

  1. #1
    Super Member
    Joined
    Oct 2008
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    Bristol, England
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    897

    simplify

    hi,
    i need to know how to simplify this:
    x^8/x^2

    im not sure how to do this as before i did it and wrote (x^8/x^2) as my answer and my teacher just wrote "ANSWERS?"

    so where am i going wrong???

    would be very grateful for some help please!! thanks!!
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  2. #2
    Super Member Quacky's Avatar
    Joined
    Nov 2009
    From
    Windsor, South-East England
    Posts
    901
    Note that 4^7 = 4 \times 4\times 4\times 4\times 4\times 4\times 4

    And that 4^2 = 4 \times 4

    So \frac{4^7}{4^2}=4\times 4\times 4\times 4\times 4 = 4^5 by cancelling.

    This leads to a general rule:

    \frac{x^a}{x^b}=x^{a-b}
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  3. #3
    Newbie
    Joined
    May 2011
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    Simply subtract the exponents from the base to get x^6
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