Applicare la formula: $x+a=b$$\to x+a-a=b-a$, dove $a=1$, $b=0$, $x+a=b=x^5+1=0$, $x=x^5$ e $x+a=x^5+1$

Applicare la formula: $x+a+c=b+f$$\to x=b-a$, dove $a=1$, $b=0$, $c=-1$, $f=-1$ e $x=x^5$

Applicare la formula: $x^a=b$$\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}$, dove $a=5$, $b=-1$, $x^a=b=x^5=-1$ e $x^a=x^5$

Applicare la formula: $\left(x^a\right)^b$$=x$, dove $a=5$, $b=1$, $x^a^b=\sqrt[5]{x^5}$ e $x^a=x^5$

Applicare la formula: $a^b$$=a^b$, dove $a=-1$, $b=\frac{1}{5}$ e $a^b=\sqrt[5]{-1}$