Résoudre (q^5)^gamma=q^10

$$( q ^ { 5 } ) ^ { \gamma } = q ^ { 10 }$$

Calculer q

$$\left\{\begin{matrix}\\q=1\text{, }&\text{unconditionally}\\q=-1\text{, }&Numerator(\gamma )\text{bmod}2=0\text{ and }Denominator(\gamma )\text{bmod}2=1\\q=0\text{, }&\gamma >0\\q\neq 0\text{, }&\gamma =2\end{matrix}\right,$$

Calculer γ

$$\left\{\begin{matrix}\gamma =2\text{, }&q\neq 1\text{ and }q>0\\\gamma \in \mathrm{R}\text{, }&q=1\\\gamma >0\text{, }&q=0\end{matrix}\right,$$