[tex]\begin{gathered} \frac{4^3}{4^6}=\frac{4\cdot4\cdot4}{4\cdot4\cdot4\cdot4\cdot4\cdot4} \\ \text{hence, you can cancel 3 number four on top with 3 below, therefore} \\ \frac{4^3}{4^6}=\frac{1}{4\cdot4\cdot4}=\frac{1}{4^3}=4^{-3} \end{gathered}[/tex]
