expandPowers := rule x^(n+k) == x*x^(n+k-1)

also seems to work well. But why does Axiom not automatically apply this rule for simplification of expressions involving powers, as other CAS's (Maple, Maxima, Mathematica) do?

Maybe some people like to apply it in the other direction...

contractPowers := rule x*x^n == x^(n+1)

or even

combinePowers := rule x^a*x^b == x^(a+b)

Have you ever tried to apply the above rule as follows?

expandPowers(x^(n+k))

Be sure to be close to Ctrl-C, since that seems to run forever.

Ralf


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