This is an example of the product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.Definition of an Exponent. An exponent is a number that indicates how many times you should multiply a number to itself. For example, 4^2 means multiply 4 by itself 2 times, or 4 * 4 = 16. ... The exponent is written as a superscript number after the number being multiplied, which is called the base.