[tex]\bf 4^3-4^{-6}\implies 4^{3-6}\implies 4^{-3}\\\\
-----------------------------\\\\
now\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}\\\\
-----------------------------\\\\
4^{-3}\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}[/tex]