Mathematrix: Aufgabenbeispiele/ Division von zwei Potenzen mit der gleichen Basis

${\frac {a^{n}}{a^{m}}}=a^{n-m}$

${\frac {a^{7}}{a^{5}}}=a^{7-5}=7^{2}\quad \quad {\frac {7^{74}}{7^{5}}}=7^{74-5}=7^{69}\quad \quad {\frac {4^{z}}{4^{x}}}=4^{z-x}$

${\frac {w^{5}}{w^{-7}}}=w^{5}:w^{-7}=w^{5-(-7)}=w^{5+7}=w^{12}$

${\frac {a^{-7}}{a^{5}}}=a^{-7}:a^{5}=a^{-7-5}=a^{-12}$

${\frac {4^{-7}}{4^{-c}}}=4^{-7}:4^{-c}=4^{-7-(-c)}=4^{-7+c}$