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Math Help - Dividing powers with the same base?

  1. #1
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    Dividing powers with the same base?

    I wasn't sure exactly were to post this because its actually apart of a logarithm i'm trying to do,

    The bit thats troubling me is I have to divide
    7z^3 by z^2

    (I just using ^ for a 'power of' symbol)

    Now I know when dividing powers of the same base you simple take them away from each other e.g. 3 - 2
    But the fact that the first number is 7z and the second is just z are they still the same base? can I apply this theory?

    Help greatly appreciated, got an exam next Monday >_<
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  2. #2
    Senior Member euclid2's Avatar
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    Quote Originally Posted by darigan View Post
    I wasn't sure exactly were to post this because its actually apart of a logarithm i'm trying to do,

    The bit thats troubling me is I have to divide
    7z^3 by z^2

    (I just using ^ for a 'power of' symbol)

    Now I know when dividing powers of the same base you simple take them away from each other e.g. 3 - 2
    But the fact that the first number is 7z and the second is just z are they still the same base? can I apply this theory?

    Help greatly appreciated, got an exam next Monday >_<
    Keep the same base and subtract the exponents.
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  3. #3
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    so is this correct?

    7z^3 Divided by z^2

    = 7z^1

    = 7z

    Ans 7z

    so is that correct?
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  4. #4
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    Yes, that's correct. Think about it this way:

    (7z^3) / (z^2) = 7 * ((z^3) / (z^2)) = 7z.

    In general (a*z^n) / (b*z^m) = (a / b) * z^(n-m).
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  5. #5
    Senior Member euclid2's Avatar
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    Quote Originally Posted by darigan View Post
    7z^3 Divided by z^2

    = 7z^1

    = 7z

    Ans 7z

    so is that correct?
    Yes, good work.
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  6. #6
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    Nice One

    Nice One

    Thanks for all your help
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  7. #7
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    This should help you. 7 is the coeffecient of 7z^3, z is the base. 7 would be the base of 7^1, which it is. Therefore, the base of z^2 is z. So the base is still the same, z. I know someone else has answered this, but maybe my explanation will help you out as well, after all there are many ways to skin a cat.
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