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I have been studying the exponent laws in depth and I cannot find a formal proof on this law:

exp(a+b) = exp(a)exp(b)

Is it formal enough to say the following? (I think not since I give an example with numbers in it)

We define:

a² = a*a.

For example:

a^8 a^7 = a*a*a*a*a*a*a*a a*a*a*a*a*a*a = a^15 = a^8+7

More generally:

a^(c+b) = a^c * a^b = a^(b+c)

Regards as always

Tam

exp(a+b) = exp(a)exp(b)

Is it formal enough to say the following? (I think not since I give an example with numbers in it)

We define:

a² = a*a.

For example:

a^8 a^7 = a*a*a*a*a*a*a*a a*a*a*a*a*a*a = a^15 = a^8+7

More generally:

a^(c+b) = a^c * a^b = a^(b+c)

Regards as always

Tam

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