Evaluate the exponential expressions $2^5,5^2,4^3,3^4$ and then arrange the results from largest to smallest.

First, let us evaluate the numerical value of each exponential term:
1. $2^5=2\times 2\times 2\times 2\times 2=32$
2. $5^2=5\times 5=25$
3. $4^3=4\times 4\times 4=64$
4. $3^4=3\times 3\times 3\times 3=81$

Now, arranging these values from largest to smallest (descending order):

$$81>64>32>25$$

Substituting back the original exponential expressions corresponding to these values:

$$3^4>4^3>2^5>5^2$$

Thus, the correct sequence from largest to smallest is $3^4,4^3,2^5,5^2$.