Determine how many different positive monetary amounts can be formed using any combination of two nickels and five dimes.
How do you found out all the amounts that can be formed by two different combinations?
The exponents are the amounts possible using two nickels and five dimes.
The coefficients tell you how many ways it is possible.
Look at $\displaystyle 2x^{20}$. That tells us there are two ways to get the amount 20cents: two dimes or one dime and two nickels.
Whereas, $\displaystyle x^{25}$ tells us there is only one way to get the amount 25cents: two dimes and one nickel.