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Simplification Methods Survey

I noted that SageMath has many ways to simplify expressions, including simplify_full(), full_simplify and canonicalize_radical. Is there a survey nd usage guide available for these? In particular, I am trying to simplify an expression as in

`constants=var('a1,a2,b,c')

((a1b)^c/(a2b)^c).simplify_full()`

such that I get (a1/a2)^c, but without success.

Simplification Methods Survey

I noted that SageMath has many ways to simplify expressions, including simplify_full(), full_simplify and canonicalize_radical. Is there a survey nd usage guide available for these? In particular, I am trying to simplify an expression as in

`constants=var('a1,a2,b,c')

constants=var('a1,a2,b,c')
  

((a1b)^c/(a2b)^c).simplify_full()`

((a1*b)^c/(a2*b)^c).simplify_full()

such that I get (a1/a2)^c, but without success.