The expression e^0 = 1 is a fundamental concept in mathematics, particularly in the study of exponents. Here, e represents Euler's number, approximately equal to 2.71828. According to the rules of exponents, any non-zero number raised to the power of zero equals one. This rule applies universally, making it a key principle in algebra. Understanding why e^0 = 1 holds true can be illustrated through the concept of division. For example, e^x divided by e^x equals 1, and when x is zero, this simplifies to e^0. Thus, e^0 must equal 1 to maintain consistency in mathematical operations.