Difference between Polynomial and Exponential Powers

Question

Explain the difference between the powers in a polynomial equation and the power in an exponential equation, and give an example of each type of equation.

Answer 1

powers in a polynomial equation are all non negative integers

like y = x^2 +x +3x^0 = x^2 +x +3

powers in an exponential equation are variables

y = 2^x the variable is not limited to positive integers but can be any real number