To solve this I'd first recommend simplifying the top expression by applying the outermost "5" exponent. Applying this to the 2y^5, we get 32y^25. So now we have 32y^25 / 2y^6. We can simplify this by combining like terms. 32/2 reduces to 16, and y^25 / y^6 simplifies to y^19.
Therefore, the expression you gave simplifies all the way down to 16y^19.
Finally, to answer your question: c must be 16 and e must be 19.