[latex] 25^{4} * 5 / 125^{3} [/latex]

[latex] \frac{25^4*5}{125^3}= \frac{(5^2)^4*5}{(5^3)^3}= \frac{5^8*5^1}{5^9}= \frac{5^9}{5^9}=1 [/latex]

[latex] \frac{25^4*5}{125^3}= \frac{(5^2)^4*5}{(5^3)^3} = \frac{5^8*5}{5^9} =5^{8+1-9}=5^0=1[/latex]