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Math Help - Understanding Functions

  1. #1
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    Understanding Functions

    Why is the following true:

    f(a)f(b) = 2^ab = 2^a+b
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  2. #2
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    Quote Originally Posted by juliak View Post
    Why is the following true:

    f(a)f(b) = 2^ab = 2^a+b
    are you sure it isn't ...

    if f(x) = 2^x ...

    f(a) \cdot f(b) = 2^a \cdot 2^b = 2^{a+b}

    because, in general, 2^{ab} \ne 2^{a+b}
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  3. #3
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    In general, they aren't equal.
    Do you mean (c^m)(c^n) = c^{m+n}?
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