By ' The law of exponents ' , a^n × a^m = a^n+m. Therefore , e^x × e^x = e^x+x = e^2x .

mathematics. exponential function, in mathematics, a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a. Probably the most important of the exponential functions is y = e^x, sometimes written y = exp (x), in which e (2.7182818…)

The original xtramath guy had a special place in everyone's hearts. But unfortunately, he has been replaced by an animated version. This new animated version has less of the joy and liveliness of the original. It is estimated that 6.5 Million students use XtraMath annually.

The real exponential function can be commonly defined by the following power series, e^x = Σ_{n = 0}^∞ xⁿ/n! = 1 + (x/1) + (x²/2) + (x³/6) + ...