5^2•3^-1•5^-3/3^4•5^-1•3^-3

Assuming you want the expression to be simplified. 

We begin with the following: 

[tex]5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3} [/tex]

Simplify the first part, [tex] 5^{2} [/tex]. That is 25. Now we have this: 

[tex]25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3} [/tex] 

Next, simplify [tex]3^{-1}[/tex], which is 1/3, and get this: 

[tex]25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}[/tex] 

The next part is [tex]\frac{5^-3}{3^{4}}[/tex]. Simplify the denominator, [tex] 3^{4}[/tex], which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to [tex]\frac{1}{10125}[/tex]. Now we have: 

[tex]25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}[/tex]

Now simplify [tex] 5^{-1}[/tex], which is 0.2, or 1/5. Now we have: 

[tex]25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}[/tex] 

Finally, simplify [tex]3^{-3}[/tex]. That is 1/27. We have: 

[tex]25* 1/3 * \frac{1}{10125} * 0.2 * 1/27[/tex]

Lastly, multiply them all together! Now we are done, with the product of: 

[tex] \frac{1}{6075} [/tex]

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (: