a n ⋅ a m = a n + m {\displaystyle a^{n}\cdot a^{m}=a^{n+m}}
4 3 ⋅ 4 6 = 4 3 + 6 = 4 9 a t ⋅ a q = a t + q x 3 ⋅ x 57 = x 3 + 57 = x 60 {\displaystyle 4^{3}\cdot 4^{6}=4^{3+6}=4^{9}\quad \quad a^{t}\cdot a^{q}=a^{t+q}\quad \quad x^{3}\cdot x^{57}=x^{3+57}=x^{60}}
4 7 ⋅ 4 − 2 = 4 7 + ( − 2 ) = 4 5 a t ⋅ a − q = a t + ( − q ) = a t − q x 3 ⋅ x − 7 = x 3 + ( − 7 ) = x 3 − 7 = x − 4 {\displaystyle 4^{7}\cdot 4^{-2}=4^{7+(-2)}=4^{5}\quad \quad a^{t}\cdot a^{-q}=a^{t+(-q)}=a^{t-q}\quad \quad x^{3}\cdot x^{-7}=x^{3+(-7)}=x^{3-7}=x^{-4}}
