Utilizando as seguintes propriedades
- [tex](a^m)^n=a^{m\cdot n}[/tex]
- [tex]a^m\cdot a^n=a^{m+n}[/tex]
- [tex]\dfrac{a^m}{a^n}=\a^{m-n}[/tex]
Temos:
[tex]\dfrac{(4^2)^3\cdot4^{-2}}{4^2}\\\\\dfrac{4^{2\cdot3}\cdot4^{-2}}{4^2}\\\\\dfrac{4^6\cdot4^{-2}}{4^2}\\\\\dfrac{4^{6-2}}{4^2}\\\\\dfrac{4^4}{4^2}\\\\4^{4-2}\\\\4^2\\\\\boxed{16}[/tex]
