[tex]256^{\frac{4}{5}}\cdot\frac{1}{64^{\frac{2}{3}}}=[/tex]
[tex]\frac{256^{\frac{4}{5}}}{64^{\frac{2}{3}}}=[/tex]
[tex]\frac{(2^8)^{\frac{4}{5}}}{(2^6)^{\frac{2}{3}}}=[/tex]
[tex]\frac{2^{\frac{32}{5}}}{2^{\frac{12}{3}}}=[/tex]
[tex]\frac{2^{\frac{32}{5}}}{2^4}=[/tex]
[tex]2^{\frac{32}{5}-4}=[/tex]
[tex]2^{\frac{32}{5}-\frac{20}{5}}=[/tex]
[tex]2^{\frac{12}{5}}=2^{2,4}[/tex]
