Question

5^2•3^-1•5^-3/3^4•5^-1•3^-3

Answer 1

Assuming you want the expression to be simplified. 

We begin with the following: 

$5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}$

Simplify the first part, $5^{2}$. That is 25. Now we have this: 

$25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$ 

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

$25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$ 

The next part is $\frac{5^-3}{3^{4}}$. Simplify the denominator, $3^{4}$, 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 $\frac{1}{10125}$. Now we have: 

$25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}$

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

$25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}$ 

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

$25* 1/3 * \frac{1}{10125} * 0.2 * 1/27$

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

$\frac{1}{6075}$

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! (: