For all real numbers a and b, where ab\neq0, let a@b=a^b....

Free Practice Question

PS · Problem Solving

705-805

Functions

For all real numbers

a

and

b

, where

ab\neq{0}

, let

a@b=a^b

. Then which of the following MUST be true?
I.

a@b=b@a

II.

(-a)@(-a) =\frac{(-1)^{-a}}{a^a}

III. [m](a@b)@c=a@(b@c)[m]

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