How to force 0^0 be 1 in Maxima?

Question

It is suitable in many series and polynomials to treat 0^0 as 1.

Unfortunately, Maxima think it is expt.

How to force?

Answer 1

Try this. Use tellsimp to define a different rule for the simplification of 0^0.

(%i1) display2d : false $
(%i2) simp : false $
(%i3) tellsimp (0^0, 1);
(%o3) [\^rule1,simpexpt]
(%i4) simp : true $
(%i5) 0^0;
(%o5) 1
(%i6) sum (k^k, k, 0, 5);
(%o6) 3414

Note that you must disable simplification (via simp:false$) before defining the rule, otherwise the default simplification (which triggers an error) is applied.