Reguli de calcul cu puteri

Asteptati un moment. Formulele se incarca...

$$1.\hspace{3pt} a^n = a^{n-1} * a $$ $$2.\hspace{3pt} 0^n = 0 (n\hspace{3pt} finit) $$ $$3.\hspace{3pt} 1^n = 1 (n\hspace{3pt} finit) $$ $$4.\hspace{3pt} a^m * a^n = a^{m+n} $$ $$5.\hspace{3pt} {a^m\over a^n} = a^{m-n} $$ $$6.\hspace{3pt} (a^n)^m = a^{nm} = (a^m)^n $$ $$7.\hspace{3pt} (a*b)^n = a^n * b^n $$

$$8.\hspace{3pt} \left(a\over b\right)^n = {a^n\over b^n} $$ $$9.\hspace{3pt} a^{-n} = {1\over a^n} $$ $$10.\hspace{3pt} \left({a\over b}\right)^{-n} = \left({b\over a}\right)^n $$ $$11.\hspace{3pt} (-a)^{2n} = + a^{2n} $$ $$12.\hspace{3pt} (-a)^{2n+1} = -a^{2n+1} $$ $$13.\hspace{3pt} a^0 = 1, (\forall) a \in \mathbb{R}^* $$