Hi,

I play with sage, exp, sin, cos, sinh, and co...

var("a,b,c")
exp(a)^2 # returns exp(2a) is right
exp(a)^(1/2) # returns exp (a/2) is wrong, with a=2*i*pi we get -1=1
exp(a)^b # returns exp(a*b) is wrong

But silly examples about power and asin (sin (x)) seems right.

I find that sage (but it's perhaps maxima) is not enough fine with 
mathematics.

Theses sage rules are right only for positive real numbers, and in 
mathematics we quickly get complex numbers.

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