Simplify exponential form

Answer:
[tex] ( \frac{5}{4})^{6}[/tex]
Step-by-step explanation:
[tex] \frac{4}{5} \div \bigg[ {\bigg( \frac{4}{5} \bigg)}^{7} .{\bigg( \frac{4}{5} \bigg)}^{0}\bigg] \\ \\ = \frac{4}{5} \div \bigg[ {\bigg( \frac{4}{5} \bigg)}^{7} .1\bigg] \\ \\ = \frac{4}{5} \div {\bigg( \frac{4}{5} \bigg)}^{7}\\ \\ = \frac{4}{5} \times {\bigg( \frac{5}{4}\bigg)}^{7} \\ \\ = {\bigg( \frac{5}{4}\bigg)}^{6}[/tex]