[tex]({(9 +{3}^{5} \div {3}^{4} + {1}^{125} + 5 )})^{625} \div {3}^{625} = [/tex]
[tex] = ({9 + {3}^{1} + 1} + 5)^{625} \div {3}^{625} = [/tex]
[tex] = {18}^{625} \div {3}^{625} = [/tex]
[tex] = {(2 \times 3 \times 3)}^{2} \div {3}^{625} = [/tex]
[tex] = {2}^{625} \times {3}^{625} \times {3}^{625} \div {3}^{625} = [/tex]
[tex] = {6}^{625} [/tex]