Why is the following true: f(a)f(b) = 2^ab = 2^a+b
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Originally Posted by juliak Why is the following true: f(a)f(b) = 2^ab = 2^a+b are you sure it isn't ... if $\displaystyle f(x) = 2^x$ ... $\displaystyle f(a) \cdot f(b) = 2^a \cdot 2^b = 2^{a+b}$ because, in general, $\displaystyle 2^{ab} \ne 2^{a+b}$
In general, they aren't equal. Do you mean $\displaystyle (c^m)(c^n) = c^{m+n}$?
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